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Finding the Fourth Proportional to 2,542.60, 3,510.48 and 1,952.08

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Solution

The fourth proportional to 2,542.60, 3,510.48 and 1,952.08 is: 2,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.60 : 3,510.48 = 1,952.08 : x
  2. Step 2: Convert to fraction form
    2,542.60/3,510.48 = 1,952.08/x
  3. Step 3: Cross multiply
    2,542.60x = 3,510.48 × 1,952.08
  4. Step 4: Simplify right side
    2,542.60x = 6,852,737.80
  5. Step 5: Solve for x
    x = 6,852,737.80/2,542.60
  6. Step 6: Final answer
    x = 2,695.17

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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.