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Finding the Fourth Proportional to 2,470.13, 3,706.64 and 911.21

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Solution

The fourth proportional to 2,470.13, 3,706.64 and 911.21 is: 1,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.13 : 3,706.64 = 911.21 : x
  2. Step 2: Convert to fraction form
    2,470.13/3,706.64 = 911.21/x
  3. Step 3: Cross multiply
    2,470.13x = 3,706.64 × 911.21
  4. Step 4: Simplify right side
    2,470.13x = 3,377,538.98
  5. Step 5: Solve for x
    x = 3,377,538.98/2,470.13
  6. Step 6: Final answer
    x = 1,367.36

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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.