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Finding the Fourth Proportional to 2,924.65, 4,386.97 and 844.95

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Solution

The fourth proportional to 2,924.65, 4,386.97 and 844.95 is: 1,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.65 : 4,386.97 = 844.95 : x
  2. Step 2: Convert to fraction form
    2,924.65/4,386.97 = 844.95/x
  3. Step 3: Cross multiply
    2,924.65x = 4,386.97 × 844.95
  4. Step 4: Simplify right side
    2,924.65x = 3,706,770.30
  5. Step 5: Solve for x
    x = 3,706,770.30/2,924.65
  6. Step 6: Final answer
    x = 1,267.43

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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.