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Finding the Fourth Proportional to 1,833.62, 2,752.25 and 1,240.56

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Solution

The fourth proportional to 1,833.62, 2,752.25 and 1,240.56 is: 1,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.62 : 2,752.25 = 1,240.56 : x
  2. Step 2: Convert to fraction form
    1,833.62/2,752.25 = 1,240.56/x
  3. Step 3: Cross multiply
    1,833.62x = 2,752.25 × 1,240.56
  4. Step 4: Simplify right side
    1,833.62x = 3,414,325.06
  5. Step 5: Solve for x
    x = 3,414,325.06/1,833.62
  6. Step 6: Final answer
    x = 1,862.07

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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.