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Finding the Fourth Proportional to 2,642.97, 3,960.96 and 1,407.72

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Solution

The fourth proportional to 2,642.97, 3,960.96 and 1,407.72 is: 2,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.97 : 3,960.96 = 1,407.72 : x
  2. Step 2: Convert to fraction form
    2,642.97/3,960.96 = 1,407.72/x
  3. Step 3: Cross multiply
    2,642.97x = 3,960.96 × 1,407.72
  4. Step 4: Simplify right side
    2,642.97x = 5,575,915.57
  5. Step 5: Solve for x
    x = 5,575,915.57/2,642.97
  6. Step 6: Final answer
    x = 2,109.72

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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.