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Finding the Fourth Proportional to 1,828.49, 2,743 and 578.66

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Solution

The fourth proportional to 1,828.49, 2,743 and 578.66 is: 868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.49 : 2,743 = 578.66 : x
  2. Step 2: Convert to fraction form
    1,828.49/2,743 = 578.66/x
  3. Step 3: Cross multiply
    1,828.49x = 2,743 × 578.66
  4. Step 4: Simplify right side
    1,828.49x = 1,587,264.38
  5. Step 5: Solve for x
    x = 1,587,264.38/1,828.49
  6. Step 6: Final answer
    x = 868.07

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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.