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Finding the Fourth Proportional to 1,253.78, 1,878.60 and 1,205.76

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Solution

The fourth proportional to 1,253.78, 1,878.60 and 1,205.76 is: 1,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.78 : 1,878.60 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    1,253.78/1,878.60 = 1,205.76/x
  3. Step 3: Cross multiply
    1,253.78x = 1,878.60 × 1,205.76
  4. Step 4: Simplify right side
    1,253.78x = 2,265,140.74
  5. Step 5: Solve for x
    x = 2,265,140.74/1,253.78
  6. Step 6: Final answer
    x = 1,806.66

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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.