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Finding the Fourth Proportional to 2,575.32, 3,854.08 and 1,587.74

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Solution

The fourth proportional to 2,575.32, 3,854.08 and 1,587.74 is: 2,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.32 : 3,854.08 = 1,587.74 : x
  2. Step 2: Convert to fraction form
    2,575.32/3,854.08 = 1,587.74/x
  3. Step 3: Cross multiply
    2,575.32x = 3,854.08 × 1,587.74
  4. Step 4: Simplify right side
    2,575.32x = 6,119,276.98
  5. Step 5: Solve for x
    x = 6,119,276.98/2,575.32
  6. Step 6: Final answer
    x = 2,376.12

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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.