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Finding the Fourth Proportional to 2,715.88, 4,073.84 and 984.52

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Solution

The fourth proportional to 2,715.88, 4,073.84 and 984.52 is: 1,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.88 : 4,073.84 = 984.52 : x
  2. Step 2: Convert to fraction form
    2,715.88/4,073.84 = 984.52/x
  3. Step 3: Cross multiply
    2,715.88x = 4,073.84 × 984.52
  4. Step 4: Simplify right side
    2,715.88x = 4,010,776.96
  5. Step 5: Solve for x
    x = 4,010,776.96/2,715.88
  6. Step 6: Final answer
    x = 1,476.79

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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.