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Finding the Fourth Proportional to 2,931.61, 4,397.69 and 851.53

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Solution

The fourth proportional to 2,931.61, 4,397.69 and 851.53 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.61 : 4,397.69 = 851.53 : x
  2. Step 2: Convert to fraction form
    2,931.61/4,397.69 = 851.53/x
  3. Step 3: Cross multiply
    2,931.61x = 4,397.69 × 851.53
  4. Step 4: Simplify right side
    2,931.61x = 3,744,760.71
  5. Step 5: Solve for x
    x = 3,744,760.71/2,931.61
  6. Step 6: Final answer
    x = 1,277.37

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