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Finding the Fourth Proportional to 2,451.52, 3,659.42 and 2,271.04

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Solution

The fourth proportional to 2,451.52, 3,659.42 and 2,271.04 is: 3,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.52 : 3,659.42 = 2,271.04 : x
  2. Step 2: Convert to fraction form
    2,451.52/3,659.42 = 2,271.04/x
  3. Step 3: Cross multiply
    2,451.52x = 3,659.42 × 2,271.04
  4. Step 4: Simplify right side
    2,451.52x = 8,310,689.20
  5. Step 5: Solve for x
    x = 8,310,689.20/2,451.52
  6. Step 6: Final answer
    x = 3,390.01

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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.