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Finding the Fourth Proportional to 2,587.56, 3,873.65 and 1,660.31

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Solution

The fourth proportional to 2,587.56, 3,873.65 and 1,660.31 is: 2,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.56 : 3,873.65 = 1,660.31 : x
  2. Step 2: Convert to fraction form
    2,587.56/3,873.65 = 1,660.31/x
  3. Step 3: Cross multiply
    2,587.56x = 3,873.65 × 1,660.31
  4. Step 4: Simplify right side
    2,587.56x = 6,431,432.16
  5. Step 5: Solve for x
    x = 6,431,432.16/2,587.56
  6. Step 6: Final answer
    x = 2,485.52

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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.