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Finding the Fourth Proportional to 1,824.26, 2,735.96 and 887.17

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Solution

The fourth proportional to 1,824.26, 2,735.96 and 887.17 is: 1,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.26 : 2,735.96 = 887.17 : x
  2. Step 2: Convert to fraction form
    1,824.26/2,735.96 = 887.17/x
  3. Step 3: Cross multiply
    1,824.26x = 2,735.96 × 887.17
  4. Step 4: Simplify right side
    1,824.26x = 2,427,260.48
  5. Step 5: Solve for x
    x = 2,427,260.48/1,824.26
  6. Step 6: Final answer
    x = 1,330.55

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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.