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Finding the Fourth Proportional to 1,828.71, 2,522.70 and 1,082.39

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Solution

The fourth proportional to 1,828.71, 2,522.70 and 1,082.39 is: 1,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.71 : 2,522.70 = 1,082.39 : x
  2. Step 2: Convert to fraction form
    1,828.71/2,522.70 = 1,082.39/x
  3. Step 3: Cross multiply
    1,828.71x = 2,522.70 × 1,082.39
  4. Step 4: Simplify right side
    1,828.71x = 2,730,532.64
  5. Step 5: Solve for x
    x = 2,730,532.64/1,828.71
  6. Step 6: Final answer
    x = 1,493.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.