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Finding the Fourth Proportional to 1,476.73, 2,213.07 and 1,432.38

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Solution

The fourth proportional to 1,476.73, 2,213.07 and 1,432.38 is: 2,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.73 : 2,213.07 = 1,432.38 : x
  2. Step 2: Convert to fraction form
    1,476.73/2,213.07 = 1,432.38/x
  3. Step 3: Cross multiply
    1,476.73x = 2,213.07 × 1,432.38
  4. Step 4: Simplify right side
    1,476.73x = 3,169,962.74
  5. Step 5: Solve for x
    x = 3,169,962.74/1,476.73
  6. Step 6: Final answer
    x = 2,146.61

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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.