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Finding the Fourth Proportional to 1,872.92, 2,582.88 and 1,480.88

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Solution

The fourth proportional to 1,872.92, 2,582.88 and 1,480.88 is: 2,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.92 : 2,582.88 = 1,480.88 : x
  2. Step 2: Convert to fraction form
    1,872.92/2,582.88 = 1,480.88/x
  3. Step 3: Cross multiply
    1,872.92x = 2,582.88 × 1,480.88
  4. Step 4: Simplify right side
    1,872.92x = 3,824,935.33
  5. Step 5: Solve for x
    x = 3,824,935.33/1,872.92
  6. Step 6: Final answer
    x = 2,042.23

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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.