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Finding the Fourth Proportional to 2,744.54, 4,117.73 and 870.73

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Solution

The fourth proportional to 2,744.54, 4,117.73 and 870.73 is: 1,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.54 : 4,117.73 = 870.73 : x
  2. Step 2: Convert to fraction form
    2,744.54/4,117.73 = 870.73/x
  3. Step 3: Cross multiply
    2,744.54x = 4,117.73 × 870.73
  4. Step 4: Simplify right side
    2,744.54x = 3,585,431.84
  5. Step 5: Solve for x
    x = 3,585,431.84/2,744.54
  6. Step 6: Final answer
    x = 1,306.39

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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.