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Finding the Fourth Proportional to 1,882.66, 2,824.14 and 584.14

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Solution

The fourth proportional to 1,882.66, 2,824.14 and 584.14 is: 876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.66 : 2,824.14 = 584.14 : x
  2. Step 2: Convert to fraction form
    1,882.66/2,824.14 = 584.14/x
  3. Step 3: Cross multiply
    1,882.66x = 2,824.14 × 584.14
  4. Step 4: Simplify right side
    1,882.66x = 1,649,693.14
  5. Step 5: Solve for x
    x = 1,649,693.14/1,882.66
  6. Step 6: Final answer
    x = 876.26

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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.