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Finding the Fourth Proportional to 1,857.89, 2,781.44 and 1,397.55

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Solution

The fourth proportional to 1,857.89, 2,781.44 and 1,397.55 is: 2,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.89 : 2,781.44 = 1,397.55 : x
  2. Step 2: Convert to fraction form
    1,857.89/2,781.44 = 1,397.55/x
  3. Step 3: Cross multiply
    1,857.89x = 2,781.44 × 1,397.55
  4. Step 4: Simplify right side
    1,857.89x = 3,887,210.16
  5. Step 5: Solve for x
    x = 3,887,210.16/1,857.89
  6. Step 6: Final answer
    x = 2,092.27

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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.