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Finding the Fourth Proportional to 2,984.28, 4,474.04 and 1,502.70

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Solution

The fourth proportional to 2,984.28, 4,474.04 and 1,502.70 is: 2,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.28 : 4,474.04 = 1,502.70 : x
  2. Step 2: Convert to fraction form
    2,984.28/4,474.04 = 1,502.70/x
  3. Step 3: Cross multiply
    2,984.28x = 4,474.04 × 1,502.70
  4. Step 4: Simplify right side
    2,984.28x = 6,723,132.39
  5. Step 5: Solve for x
    x = 6,723,132.39/2,984.28
  6. Step 6: Final answer
    x = 2,252.85

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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.