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Finding the Fourth Proportional to 1,882.53, 2,824.07 and 1,335.78

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Solution

The fourth proportional to 1,882.53, 2,824.07 and 1,335.78 is: 2,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.53 : 2,824.07 = 1,335.78 : x
  2. Step 2: Convert to fraction form
    1,882.53/2,824.07 = 1,335.78/x
  3. Step 3: Cross multiply
    1,882.53x = 2,824.07 × 1,335.78
  4. Step 4: Simplify right side
    1,882.53x = 3,772,329.55
  5. Step 5: Solve for x
    x = 3,772,329.55/1,882.53
  6. Step 6: Final answer
    x = 2,003.86

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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.