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Finding the Fourth Proportional to 2,470.26, 3,705.72 and 909.97

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Solution

The fourth proportional to 2,470.26, 3,705.72 and 909.97 is: 1,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.26 : 3,705.72 = 909.97 : x
  2. Step 2: Convert to fraction form
    2,470.26/3,705.72 = 909.97/x
  3. Step 3: Cross multiply
    2,470.26x = 3,705.72 × 909.97
  4. Step 4: Simplify right side
    2,470.26x = 3,372,081.35
  5. Step 5: Solve for x
    x = 3,372,081.35/2,470.26
  6. Step 6: Final answer
    x = 1,365.07

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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.