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Finding the Fourth Proportional to 2,902.52, 4,353.74 and 711.24

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Solution

The fourth proportional to 2,902.52, 4,353.74 and 711.24 is: 1,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.52 : 4,353.74 = 711.24 : x
  2. Step 2: Convert to fraction form
    2,902.52/4,353.74 = 711.24/x
  3. Step 3: Cross multiply
    2,902.52x = 4,353.74 × 711.24
  4. Step 4: Simplify right side
    2,902.52x = 3,096,554.04
  5. Step 5: Solve for x
    x = 3,096,554.04/2,902.52
  6. Step 6: Final answer
    x = 1,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.