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Finding the Fourth Proportional to 3,072.74, 4,609.10 and 764.24

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Solution

The fourth proportional to 3,072.74, 4,609.10 and 764.24 is: 1,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.74 : 4,609.10 = 764.24 : x
  2. Step 2: Convert to fraction form
    3,072.74/4,609.10 = 764.24/x
  3. Step 3: Cross multiply
    3,072.74x = 4,609.10 × 764.24
  4. Step 4: Simplify right side
    3,072.74x = 3,522,437.45
  5. Step 5: Solve for x
    x = 3,522,437.45/3,072.74
  6. Step 6: Final answer
    x = 1,146.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.