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Finding the Fourth Proportional to 2,603.28, 3,909.76 and 2,142.08

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Solution

The fourth proportional to 2,603.28, 3,909.76 and 2,142.08 is: 3,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.28 : 3,909.76 = 2,142.08 : x
  2. Step 2: Convert to fraction form
    2,603.28/3,909.76 = 2,142.08/x
  3. Step 3: Cross multiply
    2,603.28x = 3,909.76 × 2,142.08
  4. Step 4: Simplify right side
    2,603.28x = 8,375,018.70
  5. Step 5: Solve for x
    x = 8,375,018.70/2,603.28
  6. Step 6: Final answer
    x = 3,217.10

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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.