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Finding the Fourth Proportional to 2,834.52, 4,251.96 and 887.28

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Solution

The fourth proportional to 2,834.52, 4,251.96 and 887.28 is: 1,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.52 : 4,251.96 = 887.28 : x
  2. Step 2: Convert to fraction form
    2,834.52/4,251.96 = 887.28/x
  3. Step 3: Cross multiply
    2,834.52x = 4,251.96 × 887.28
  4. Step 4: Simplify right side
    2,834.52x = 3,772,679.07
  5. Step 5: Solve for x
    x = 3,772,679.07/2,834.52
  6. Step 6: Final answer
    x = 1,330.98

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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.