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Finding the Fourth Proportional to 1,844.33, 2,545.46 and 1,182.76

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Solution

The fourth proportional to 1,844.33, 2,545.46 and 1,182.76 is: 1,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.33 : 2,545.46 = 1,182.76 : x
  2. Step 2: Convert to fraction form
    1,844.33/2,545.46 = 1,182.76/x
  3. Step 3: Cross multiply
    1,844.33x = 2,545.46 × 1,182.76
  4. Step 4: Simplify right side
    1,844.33x = 3,010,668.27
  5. Step 5: Solve for x
    x = 3,010,668.27/1,844.33
  6. Step 6: Final answer
    x = 1,632.39

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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.