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Finding the Fourth Proportional to 1,748.27, 2,622.41 and 432.02

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Solution

The fourth proportional to 1,748.27, 2,622.41 and 432.02 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.27 : 2,622.41 = 432.02 : x
  2. Step 2: Convert to fraction form
    1,748.27/2,622.41 = 432.02/x
  3. Step 3: Cross multiply
    1,748.27x = 2,622.41 × 432.02
  4. Step 4: Simplify right side
    1,748.27x = 1,132,918.30
  5. Step 5: Solve for x
    x = 1,132,918.30/1,748.27
  6. Step 6: Final answer
    x = 648.02

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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.