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Finding the Fourth Proportional to 2,001.92, 3,013.71 and 1,800.98

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Solution

The fourth proportional to 2,001.92, 3,013.71 and 1,800.98 is: 2,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.92 : 3,013.71 = 1,800.98 : x
  2. Step 2: Convert to fraction form
    2,001.92/3,013.71 = 1,800.98/x
  3. Step 3: Cross multiply
    2,001.92x = 3,013.71 × 1,800.98
  4. Step 4: Simplify right side
    2,001.92x = 5,427,637.87
  5. Step 5: Solve for x
    x = 5,427,637.87/2,001.92
  6. Step 6: Final answer
    x = 2,711.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.