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Finding the Fourth Proportional to 1,487.10, 2,227.80 and 835.86

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Solution

The fourth proportional to 1,487.10, 2,227.80 and 835.86 is: 1,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.10 : 2,227.80 = 835.86 : x
  2. Step 2: Convert to fraction form
    1,487.10/2,227.80 = 835.86/x
  3. Step 3: Cross multiply
    1,487.10x = 2,227.80 × 835.86
  4. Step 4: Simplify right side
    1,487.10x = 1,862,128.91
  5. Step 5: Solve for x
    x = 1,862,128.91/1,487.10
  6. Step 6: Final answer
    x = 1,252.19

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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.