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Finding the Fourth Proportional to 4,613.66, 6,920.46 and 1,150.91

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Solution

The fourth proportional to 4,613.66, 6,920.46 and 1,150.91 is: 1,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.66 : 6,920.46 = 1,150.91 : x
  2. Step 2: Convert to fraction form
    4,613.66/6,920.46 = 1,150.91/x
  3. Step 3: Cross multiply
    4,613.66x = 6,920.46 × 1,150.91
  4. Step 4: Simplify right side
    4,613.66x = 7,964,792.02
  5. Step 5: Solve for x
    x = 7,964,792.02/4,613.66
  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.