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Finding the Fourth Proportional to 2,658.87, 3,988.76 and 809.55

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Solution

The fourth proportional to 2,658.87, 3,988.76 and 809.55 is: 1,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.87 : 3,988.76 = 809.55 : x
  2. Step 2: Convert to fraction form
    2,658.87/3,988.76 = 809.55/x
  3. Step 3: Cross multiply
    2,658.87x = 3,988.76 × 809.55
  4. Step 4: Simplify right side
    2,658.87x = 3,229,096.61
  5. Step 5: Solve for x
    x = 3,229,096.61/2,658.87
  6. Step 6: Final answer
    x = 1,214.46

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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.