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Finding the Fourth Proportional to 2,240.92, 3,344.98 and 2,076

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Solution

The fourth proportional to 2,240.92, 3,344.98 and 2,076 is: 3,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.92 : 3,344.98 = 2,076 : x
  2. Step 2: Convert to fraction form
    2,240.92/3,344.98 = 2,076/x
  3. Step 3: Cross multiply
    2,240.92x = 3,344.98 × 2,076
  4. Step 4: Simplify right side
    2,240.92x = 6,944,178.48
  5. Step 5: Solve for x
    x = 6,944,178.48/2,240.92
  6. Step 6: Final answer
    x = 3,098.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.