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Finding the Fourth Proportional to 2,931.04, 4,398.99 and 1,470.61

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Solution

The fourth proportional to 2,931.04, 4,398.99 and 1,470.61 is: 2,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.04 : 4,398.99 = 1,470.61 : x
  2. Step 2: Convert to fraction form
    2,931.04/4,398.99 = 1,470.61/x
  3. Step 3: Cross multiply
    2,931.04x = 4,398.99 × 1,470.61
  4. Step 4: Simplify right side
    2,931.04x = 6,469,198.68
  5. Step 5: Solve for x
    x = 6,469,198.68/2,931.04
  6. Step 6: Final answer
    x = 2,207.13

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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.