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Finding the Fourth Proportional to 2,191.52, 3,023.52 and 1,259.48

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Solution

The fourth proportional to 2,191.52, 3,023.52 and 1,259.48 is: 1,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.52 : 3,023.52 = 1,259.48 : x
  2. Step 2: Convert to fraction form
    2,191.52/3,023.52 = 1,259.48/x
  3. Step 3: Cross multiply
    2,191.52x = 3,023.52 × 1,259.48
  4. Step 4: Simplify right side
    2,191.52x = 3,808,062.97
  5. Step 5: Solve for x
    x = 3,808,062.97/2,191.52
  6. Step 6: Final answer
    x = 1,737.64

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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.