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Finding the Fourth Proportional to 2,542.82, 3,510.16 and 1,844.06

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Solution

The fourth proportional to 2,542.82, 3,510.16 and 1,844.06 is: 2,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.82 : 3,510.16 = 1,844.06 : x
  2. Step 2: Convert to fraction form
    2,542.82/3,510.16 = 1,844.06/x
  3. Step 3: Cross multiply
    2,542.82x = 3,510.16 × 1,844.06
  4. Step 4: Simplify right side
    2,542.82x = 6,472,945.65
  5. Step 5: Solve for x
    x = 6,472,945.65/2,542.82
  6. Step 6: Final answer
    x = 2,545.58

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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.