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Finding the Fourth Proportional to 2,969.92, 4,098.78 and 2,471.68

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Solution

The fourth proportional to 2,969.92, 4,098.78 and 2,471.68 is: 3,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.92 : 4,098.78 = 2,471.68 : x
  2. Step 2: Convert to fraction form
    2,969.92/4,098.78 = 2,471.68/x
  3. Step 3: Cross multiply
    2,969.92x = 4,098.78 × 2,471.68
  4. Step 4: Simplify right side
    2,969.92x = 10,130,872.55
  5. Step 5: Solve for x
    x = 10,130,872.55/2,969.92
  6. Step 6: Final answer
    x = 3,411.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.