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Finding the Fourth Proportional to 2,461.44, 3,397.92 and 2,124

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Solution

The fourth proportional to 2,461.44, 3,397.92 and 2,124 is: 2,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.44 : 3,397.92 = 2,124 : x
  2. Step 2: Convert to fraction form
    2,461.44/3,397.92 = 2,124/x
  3. Step 3: Cross multiply
    2,461.44x = 3,397.92 × 2,124
  4. Step 4: Simplify right side
    2,461.44x = 7,217,182.08
  5. Step 5: Solve for x
    x = 7,217,182.08/2,461.44
  6. Step 6: Final answer
    x = 2,932.10

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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.