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Finding the Fourth Proportional to 1,658.71, 2,488.22 and 618.47

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Solution

The fourth proportional to 1,658.71, 2,488.22 and 618.47 is: 927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.71 : 2,488.22 = 618.47 : x
  2. Step 2: Convert to fraction form
    1,658.71/2,488.22 = 618.47/x
  3. Step 3: Cross multiply
    1,658.71x = 2,488.22 × 618.47
  4. Step 4: Simplify right side
    1,658.71x = 1,538,876.98
  5. Step 5: Solve for x
    x = 1,538,876.98/1,658.71
  6. Step 6: Final answer
    x = 927.76

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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.