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Finding the Fourth Proportional to 1,638.13, 2,259.63 and 974.86

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Solution

The fourth proportional to 1,638.13, 2,259.63 and 974.86 is: 1,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.13 : 2,259.63 = 974.86 : x
  2. Step 2: Convert to fraction form
    1,638.13/2,259.63 = 974.86/x
  3. Step 3: Cross multiply
    1,638.13x = 2,259.63 × 974.86
  4. Step 4: Simplify right side
    1,638.13x = 2,202,822.90
  5. Step 5: Solve for x
    x = 2,202,822.90/1,638.13
  6. Step 6: Final answer
    x = 1,344.72

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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.