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Finding the Fourth Proportional to 1,658.28, 2,484.14 and 1,247.88

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Solution

The fourth proportional to 1,658.28, 2,484.14 and 1,247.88 is: 1,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.28 : 2,484.14 = 1,247.88 : x
  2. Step 2: Convert to fraction form
    1,658.28/2,484.14 = 1,247.88/x
  3. Step 3: Cross multiply
    1,658.28x = 2,484.14 × 1,247.88
  4. Step 4: Simplify right side
    1,658.28x = 3,099,908.62
  5. Step 5: Solve for x
    x = 3,099,908.62/1,658.28
  6. Step 6: Final answer
    x = 1,869.35

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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.