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Finding the Fourth Proportional to 2,185.92, 3,278.97 and 887.28

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Solution

The fourth proportional to 2,185.92, 3,278.97 and 887.28 is: 1,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.92 : 3,278.97 = 887.28 : x
  2. Step 2: Convert to fraction form
    2,185.92/3,278.97 = 887.28/x
  3. Step 3: Cross multiply
    2,185.92x = 3,278.97 × 887.28
  4. Step 4: Simplify right side
    2,185.92x = 2,909,364.50
  5. Step 5: Solve for x
    x = 2,909,364.50/2,185.92
  6. Step 6: Final answer
    x = 1,330.96

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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.