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Finding the Fourth Proportional to 1,250.95, 1,878.65 and 1,187.14

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Solution

The fourth proportional to 1,250.95, 1,878.65 and 1,187.14 is: 1,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.95 : 1,878.65 = 1,187.14 : x
  2. Step 2: Convert to fraction form
    1,250.95/1,878.65 = 1,187.14/x
  3. Step 3: Cross multiply
    1,250.95x = 1,878.65 × 1,187.14
  4. Step 4: Simplify right side
    1,250.95x = 2,230,220.56
  5. Step 5: Solve for x
    x = 2,230,220.56/1,250.95
  6. Step 6: Final answer
    x = 1,782.82

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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.