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Finding the Fourth Proportional to 1,888.80, 2,607.20 and 1,143.39

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Solution

The fourth proportional to 1,888.80, 2,607.20 and 1,143.39 is: 1,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.80 : 2,607.20 = 1,143.39 : x
  2. Step 2: Convert to fraction form
    1,888.80/2,607.20 = 1,143.39/x
  3. Step 3: Cross multiply
    1,888.80x = 2,607.20 × 1,143.39
  4. Step 4: Simplify right side
    1,888.80x = 2,981,046.41
  5. Step 5: Solve for x
    x = 2,981,046.41/1,888.80
  6. Step 6: Final answer
    x = 1,578.28

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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.