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Finding the Fourth Proportional to 1,578.43, 2,178.18 and 915.22

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Solution

The fourth proportional to 1,578.43, 2,178.18 and 915.22 is: 1,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.43 : 2,178.18 = 915.22 : x
  2. Step 2: Convert to fraction form
    1,578.43/2,178.18 = 915.22/x
  3. Step 3: Cross multiply
    1,578.43x = 2,178.18 × 915.22
  4. Step 4: Simplify right side
    1,578.43x = 1,993,513.90
  5. Step 5: Solve for x
    x = 1,993,513.90/1,578.43
  6. Step 6: Final answer
    x = 1,262.97

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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.