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Finding the Fourth Proportional to 1,732.28, 2,392.22 and 1,482.13

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Solution

The fourth proportional to 1,732.28, 2,392.22 and 1,482.13 is: 2,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.28 : 2,392.22 = 1,482.13 : x
  2. Step 2: Convert to fraction form
    1,732.28/2,392.22 = 1,482.13/x
  3. Step 3: Cross multiply
    1,732.28x = 2,392.22 × 1,482.13
  4. Step 4: Simplify right side
    1,732.28x = 3,545,587.72
  5. Step 5: Solve for x
    x = 3,545,587.72/1,732.28
  6. Step 6: Final answer
    x = 2,046.78

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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.