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Finding the Fourth Proportional to 2,751.28, 4,132.43 and 1,642.86

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Solution

The fourth proportional to 2,751.28, 4,132.43 and 1,642.86 is: 2,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.28 : 4,132.43 = 1,642.86 : x
  2. Step 2: Convert to fraction form
    2,751.28/4,132.43 = 1,642.86/x
  3. Step 3: Cross multiply
    2,751.28x = 4,132.43 × 1,642.86
  4. Step 4: Simplify right side
    2,751.28x = 6,788,995.74
  5. Step 5: Solve for x
    x = 6,788,995.74/2,751.28
  6. Step 6: Final answer
    x = 2,467.58

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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.