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Finding the Fourth Proportional to 2,447.52, 3,668.80 and 1,146.64

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Solution

The fourth proportional to 2,447.52, 3,668.80 and 1,146.64 is: 1,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.52 : 3,668.80 = 1,146.64 : x
  2. Step 2: Convert to fraction form
    2,447.52/3,668.80 = 1,146.64/x
  3. Step 3: Cross multiply
    2,447.52x = 3,668.80 × 1,146.64
  4. Step 4: Simplify right side
    2,447.52x = 4,206,792.83
  5. Step 5: Solve for x
    x = 4,206,792.83/2,447.52
  6. Step 6: Final answer
    x = 1,718.80

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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.