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Finding the Fourth Proportional to 1,578.78, 2,177.10 and 1,224

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Solution

The fourth proportional to 1,578.78, 2,177.10 and 1,224 is: 1,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.78 : 2,177.10 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,578.78/2,177.10 = 1,224/x
  3. Step 3: Cross multiply
    1,578.78x = 2,177.10 × 1,224
  4. Step 4: Simplify right side
    1,578.78x = 2,664,770.40
  5. Step 5: Solve for x
    x = 2,664,770.40/1,578.78
  6. Step 6: Final answer
    x = 1,687.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.