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Finding the Fourth Proportional to 2,324.92, 3,488.64 and 1,543

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Solution

The fourth proportional to 2,324.92, 3,488.64 and 1,543 is: 2,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.92 : 3,488.64 = 1,543 : x
  2. Step 2: Convert to fraction form
    2,324.92/3,488.64 = 1,543/x
  3. Step 3: Cross multiply
    2,324.92x = 3,488.64 × 1,543
  4. Step 4: Simplify right side
    2,324.92x = 5,382,971.52
  5. Step 5: Solve for x
    x = 5,382,971.52/2,324.92
  6. Step 6: Final answer
    x = 2,315.34

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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.