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Finding the Fourth Proportional to 2,872.08, 4,308.84 and 1,140.84

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Solution

The fourth proportional to 2,872.08, 4,308.84 and 1,140.84 is: 1,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.08 : 4,308.84 = 1,140.84 : x
  2. Step 2: Convert to fraction form
    2,872.08/4,308.84 = 1,140.84/x
  3. Step 3: Cross multiply
    2,872.08x = 4,308.84 × 1,140.84
  4. Step 4: Simplify right side
    2,872.08x = 4,915,697.03
  5. Step 5: Solve for x
    x = 4,915,697.03/2,872.08
  6. Step 6: Final answer
    x = 1,711.55

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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.