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Finding the Fourth Proportional to 2,033.88, 3,036.12 and 1,787.88

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Solution

The fourth proportional to 2,033.88, 3,036.12 and 1,787.88 is: 2,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.88 : 3,036.12 = 1,787.88 : x
  2. Step 2: Convert to fraction form
    2,033.88/3,036.12 = 1,787.88/x
  3. Step 3: Cross multiply
    2,033.88x = 3,036.12 × 1,787.88
  4. Step 4: Simplify right side
    2,033.88x = 5,428,218.23
  5. Step 5: Solve for x
    x = 5,428,218.23/2,033.88
  6. Step 6: Final answer
    x = 2,668.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.