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Finding the Fourth Proportional to 4,613.65, 6,920.49 and 1,150.90

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Solution

The fourth proportional to 4,613.65, 6,920.49 and 1,150.90 is: 1,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.65 : 6,920.49 = 1,150.90 : x
  2. Step 2: Convert to fraction form
    4,613.65/6,920.49 = 1,150.90/x
  3. Step 3: Cross multiply
    4,613.65x = 6,920.49 × 1,150.90
  4. Step 4: Simplify right side
    4,613.65x = 7,964,791.94
  5. Step 5: Solve for x
    x = 7,964,791.94/4,613.65
  6. Step 6: Final answer
    x = 1,726.35

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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.