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Finding the Fourth Proportional to 2,902.76, 4,354.36 and 1,171.40

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Solution

The fourth proportional to 2,902.76, 4,354.36 and 1,171.40 is: 1,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.76 : 4,354.36 = 1,171.40 : x
  2. Step 2: Convert to fraction form
    2,902.76/4,354.36 = 1,171.40/x
  3. Step 3: Cross multiply
    2,902.76x = 4,354.36 × 1,171.40
  4. Step 4: Simplify right side
    2,902.76x = 5,100,697.30
  5. Step 5: Solve for x
    x = 5,100,697.30/2,902.76
  6. Step 6: Final answer
    x = 1,757.19

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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.