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Finding the Fourth Proportional to 2,471.47, 3,707.61 and 1,010.23

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Solution

The fourth proportional to 2,471.47, 3,707.61 and 1,010.23 is: 1,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.47 : 3,707.61 = 1,010.23 : x
  2. Step 2: Convert to fraction form
    2,471.47/3,707.61 = 1,010.23/x
  3. Step 3: Cross multiply
    2,471.47x = 3,707.61 × 1,010.23
  4. Step 4: Simplify right side
    2,471.47x = 3,745,538.85
  5. Step 5: Solve for x
    x = 3,745,538.85/2,471.47
  6. Step 6: Final answer
    x = 1,515.51

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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.