Home / 2,001.41-3,002.57-614.94

Finding the Fourth Proportional to 2,001.41, 3,002.57 and 614.94

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Solution

The fourth proportional to 2,001.41, 3,002.57 and 614.94 is: 922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.41 : 3,002.57 = 614.94 : x
  2. Step 2: Convert to fraction form
    2,001.41/3,002.57 = 614.94/x
  3. Step 3: Cross multiply
    2,001.41x = 3,002.57 × 614.94
  4. Step 4: Simplify right side
    2,001.41x = 1,846,397.32
  5. Step 5: Solve for x
    x = 1,846,397.32/2,001.41
  6. Step 6: Final answer
    x = 922.55

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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.