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Finding the Fourth Proportional to 1,642.27, 2,462.76 and 601.97

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Solution

The fourth proportional to 1,642.27, 2,462.76 and 601.97 is: 902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.27 : 2,462.76 = 601.97 : x
  2. Step 2: Convert to fraction form
    1,642.27/2,462.76 = 601.97/x
  3. Step 3: Cross multiply
    1,642.27x = 2,462.76 × 601.97
  4. Step 4: Simplify right side
    1,642.27x = 1,482,492.31
  5. Step 5: Solve for x
    x = 1,482,492.31/1,642.27
  6. Step 6: Final answer
    x = 902.71

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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.