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Finding the Fourth Proportional to 2,471.64, 3,707.64 and 1,010.82

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Solution

The fourth proportional to 2,471.64, 3,707.64 and 1,010.82 is: 1,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.64 : 3,707.64 = 1,010.82 : x
  2. Step 2: Convert to fraction form
    2,471.64/3,707.64 = 1,010.82/x
  3. Step 3: Cross multiply
    2,471.64x = 3,707.64 × 1,010.82
  4. Step 4: Simplify right side
    2,471.64x = 3,747,756.66
  5. Step 5: Solve for x
    x = 3,747,756.66/2,471.64
  6. Step 6: Final answer
    x = 1,516.30

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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.