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Finding the Fourth Proportional to 2,642.06, 3,960.06 and 1,253.42

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Solution

The fourth proportional to 2,642.06, 3,960.06 and 1,253.42 is: 1,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.06 : 3,960.06 = 1,253.42 : x
  2. Step 2: Convert to fraction form
    2,642.06/3,960.06 = 1,253.42/x
  3. Step 3: Cross multiply
    2,642.06x = 3,960.06 × 1,253.42
  4. Step 4: Simplify right side
    2,642.06x = 4,963,641.61
  5. Step 5: Solve for x
    x = 4,963,641.61/2,642.06
  6. Step 6: Final answer
    x = 1,878.70

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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.