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Finding the Fourth Proportional to 2,397.86, 3,597 and 642.82

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Solution

The fourth proportional to 2,397.86, 3,597 and 642.82 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.86 : 3,597 = 642.82 : x
  2. Step 2: Convert to fraction form
    2,397.86/3,597 = 642.82/x
  3. Step 3: Cross multiply
    2,397.86x = 3,597 × 642.82
  4. Step 4: Simplify right side
    2,397.86x = 2,312,223.54
  5. Step 5: Solve for x
    x = 2,312,223.54/2,397.86
  6. Step 6: Final answer
    x = 964.29

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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.