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Finding the Fourth Proportional to 3,262.97, 4,894.25 and 922.88

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Solution

The fourth proportional to 3,262.97, 4,894.25 and 922.88 is: 1,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.97 : 4,894.25 = 922.88 : x
  2. Step 2: Convert to fraction form
    3,262.97/4,894.25 = 922.88/x
  3. Step 3: Cross multiply
    3,262.97x = 4,894.25 × 922.88
  4. Step 4: Simplify right side
    3,262.97x = 4,516,776.35
  5. Step 5: Solve for x
    x = 4,516,776.35/3,262.97
  6. Step 6: Final answer
    x = 1,384.26

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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.