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Finding the Fourth Proportional to 2,471.22, 3,707.24 and 1,009.98

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Solution

The fourth proportional to 2,471.22, 3,707.24 and 1,009.98 is: 1,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.22 : 3,707.24 = 1,009.98 : x
  2. Step 2: Convert to fraction form
    2,471.22/3,707.24 = 1,009.98/x
  3. Step 3: Cross multiply
    2,471.22x = 3,707.24 × 1,009.98
  4. Step 4: Simplify right side
    2,471.22x = 3,744,233.21
  5. Step 5: Solve for x
    x = 3,744,233.21/2,471.22
  6. Step 6: Final answer
    x = 1,515.14

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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.