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Finding the Fourth Proportional to 2,766.46, 3,818.04 and 1,587.92

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Solution

The fourth proportional to 2,766.46, 3,818.04 and 1,587.92 is: 2,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.46 : 3,818.04 = 1,587.92 : x
  2. Step 2: Convert to fraction form
    2,766.46/3,818.04 = 1,587.92/x
  3. Step 3: Cross multiply
    2,766.46x = 3,818.04 × 1,587.92
  4. Step 4: Simplify right side
    2,766.46x = 6,062,742.08
  5. Step 5: Solve for x
    x = 6,062,742.08/2,766.46
  6. Step 6: Final answer
    x = 2,191.52

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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.