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Finding the Fourth Proportional to 1,930.91, 2,882.23 and 1,658.75

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Solution

The fourth proportional to 1,930.91, 2,882.23 and 1,658.75 is: 2,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.91 : 2,882.23 = 1,658.75 : x
  2. Step 2: Convert to fraction form
    1,930.91/2,882.23 = 1,658.75/x
  3. Step 3: Cross multiply
    1,930.91x = 2,882.23 × 1,658.75
  4. Step 4: Simplify right side
    1,930.91x = 4,780,876.31
  5. Step 5: Solve for x
    x = 4,780,876.31/1,930.91
  6. Step 6: Final answer
    x = 2,475.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.