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Finding the Fourth Proportional to 3,034.75, 4,188 and 1,855.57

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Solution

The fourth proportional to 3,034.75, 4,188 and 1,855.57 is: 2,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.75 : 4,188 = 1,855.57 : x
  2. Step 2: Convert to fraction form
    3,034.75/4,188 = 1,855.57/x
  3. Step 3: Cross multiply
    3,034.75x = 4,188 × 1,855.57
  4. Step 4: Simplify right side
    3,034.75x = 7,771,127.16
  5. Step 5: Solve for x
    x = 7,771,127.16/3,034.75
  6. Step 6: Final answer
    x = 2,560.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.