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Finding the Fourth Proportional to 2,575.80, 3,557.13 and 1,781.16

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Solution

The fourth proportional to 2,575.80, 3,557.13 and 1,781.16 is: 2,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.80 : 3,557.13 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    2,575.80/3,557.13 = 1,781.16/x
  3. Step 3: Cross multiply
    2,575.80x = 3,557.13 × 1,781.16
  4. Step 4: Simplify right side
    2,575.80x = 6,335,817.67
  5. Step 5: Solve for x
    x = 6,335,817.67/2,575.80
  6. Step 6: Final answer
    x = 2,459.75

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