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Finding the Fourth Proportional to 3,272.68, 4,514.16 and 2,154.64

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Solution

The fourth proportional to 3,272.68, 4,514.16 and 2,154.64 is: 2,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.68 : 4,514.16 = 2,154.64 : x
  2. Step 2: Convert to fraction form
    3,272.68/4,514.16 = 2,154.64/x
  3. Step 3: Cross multiply
    3,272.68x = 4,514.16 × 2,154.64
  4. Step 4: Simplify right side
    3,272.68x = 9,726,389.70
  5. Step 5: Solve for x
    x = 9,726,389.70/3,272.68
  6. Step 6: Final answer
    x = 2,972.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.