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Finding the Fourth Proportional to 1,255.49, 1,881.86 and 889.17

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Solution

The fourth proportional to 1,255.49, 1,881.86 and 889.17 is: 1,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.49 : 1,881.86 = 889.17 : x
  2. Step 2: Convert to fraction form
    1,255.49/1,881.86 = 889.17/x
  3. Step 3: Cross multiply
    1,255.49x = 1,881.86 × 889.17
  4. Step 4: Simplify right side
    1,255.49x = 1,673,293.46
  5. Step 5: Solve for x
    x = 1,673,293.46/1,255.49
  6. Step 6: Final answer
    x = 1,332.78

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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.