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Finding the Fourth Proportional to 2,483.25, 3,427.28 and 1,540

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Solution

The fourth proportional to 2,483.25, 3,427.28 and 1,540 is: 2,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.25 : 3,427.28 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,483.25/3,427.28 = 1,540/x
  3. Step 3: Cross multiply
    2,483.25x = 3,427.28 × 1,540
  4. Step 4: Simplify right side
    2,483.25x = 5,278,011.20
  5. Step 5: Solve for x
    x = 5,278,011.20/2,483.25
  6. Step 6: Final answer
    x = 2,125.44

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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.