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Finding the Fourth Proportional to 2,587.80, 3,875.53 and 1,489.86

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Solution

The fourth proportional to 2,587.80, 3,875.53 and 1,489.86 is: 2,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.80 : 3,875.53 = 1,489.86 : x
  2. Step 2: Convert to fraction form
    2,587.80/3,875.53 = 1,489.86/x
  3. Step 3: Cross multiply
    2,587.80x = 3,875.53 × 1,489.86
  4. Step 4: Simplify right side
    2,587.80x = 5,773,997.13
  5. Step 5: Solve for x
    x = 5,773,997.13/2,587.80
  6. Step 6: Final answer
    x = 2,231.24

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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.