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Finding the Fourth Proportional to 3,104.32, 4,656.44 and 764.35

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Solution

The fourth proportional to 3,104.32, 4,656.44 and 764.35 is: 1,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.32 : 4,656.44 = 764.35 : x
  2. Step 2: Convert to fraction form
    3,104.32/4,656.44 = 764.35/x
  3. Step 3: Cross multiply
    3,104.32x = 4,656.44 × 764.35
  4. Step 4: Simplify right side
    3,104.32x = 3,559,146.09
  5. Step 5: Solve for x
    x = 3,559,146.09/3,104.32
  6. Step 6: Final answer
    x = 1,146.51

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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.