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Finding the Fourth Proportional to 1,232.76, 1,850.97 and 1,214.55

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Solution

The fourth proportional to 1,232.76, 1,850.97 and 1,214.55 is: 1,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.76 : 1,850.97 = 1,214.55 : x
  2. Step 2: Convert to fraction form
    1,232.76/1,850.97 = 1,214.55/x
  3. Step 3: Cross multiply
    1,232.76x = 1,850.97 × 1,214.55
  4. Step 4: Simplify right side
    1,232.76x = 2,248,095.61
  5. Step 5: Solve for x
    x = 2,248,095.61/1,232.76
  6. Step 6: Final answer
    x = 1,823.63

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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.