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Finding the Fourth Proportional to 2,321.48, 3,473.43 and 1,432.22

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Solution

The fourth proportional to 2,321.48, 3,473.43 and 1,432.22 is: 2,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.48 : 3,473.43 = 1,432.22 : x
  2. Step 2: Convert to fraction form
    2,321.48/3,473.43 = 1,432.22/x
  3. Step 3: Cross multiply
    2,321.48x = 3,473.43 × 1,432.22
  4. Step 4: Simplify right side
    2,321.48x = 4,974,715.91
  5. Step 5: Solve for x
    x = 4,974,715.91/2,321.48
  6. Step 6: Final answer
    x = 2,142.91

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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.