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Finding the Fourth Proportional to 2,470.26, 3,705.96 and 738.92

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Solution

The fourth proportional to 2,470.26, 3,705.96 and 738.92 is: 1,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.26 : 3,705.96 = 738.92 : x
  2. Step 2: Convert to fraction form
    2,470.26/3,705.96 = 738.92/x
  3. Step 3: Cross multiply
    2,470.26x = 3,705.96 × 738.92
  4. Step 4: Simplify right side
    2,470.26x = 2,738,407.96
  5. Step 5: Solve for x
    x = 2,738,407.96/2,470.26
  6. Step 6: Final answer
    x = 1,108.55

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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.