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Finding the Fourth Proportional to 1,882.74, 2,822.74 and 787.42

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Solution

The fourth proportional to 1,882.74, 2,822.74 and 787.42 is: 1,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.74 : 2,822.74 = 787.42 : x
  2. Step 2: Convert to fraction form
    1,882.74/2,822.74 = 787.42/x
  3. Step 3: Cross multiply
    1,882.74x = 2,822.74 × 787.42
  4. Step 4: Simplify right side
    1,882.74x = 2,222,681.93
  5. Step 5: Solve for x
    x = 2,222,681.93/1,882.74
  6. Step 6: Final answer
    x = 1,180.56

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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.