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Finding the Fourth Proportional to 2,642.25, 3,935.46 and 2,503.47

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Solution

The fourth proportional to 2,642.25, 3,935.46 and 2,503.47 is: 3,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.25 : 3,935.46 = 2,503.47 : x
  2. Step 2: Convert to fraction form
    2,642.25/3,935.46 = 2,503.47/x
  3. Step 3: Cross multiply
    2,642.25x = 3,935.46 × 2,503.47
  4. Step 4: Simplify right side
    2,642.25x = 9,852,306.05
  5. Step 5: Solve for x
    x = 9,852,306.05/2,642.25
  6. Step 6: Final answer
    x = 3,728.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.