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Finding the Fourth Proportional to 2,483.38, 3,426.37 and 1,540

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Solution

The fourth proportional to 2,483.38, 3,426.37 and 1,540 is: 2,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.38 : 3,426.37 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,483.38/3,426.37 = 1,540/x
  3. Step 3: Cross multiply
    2,483.38x = 3,426.37 × 1,540
  4. Step 4: Simplify right side
    2,483.38x = 5,276,609.80
  5. Step 5: Solve for x
    x = 5,276,609.80/2,483.38
  6. Step 6: Final answer
    x = 2,124.77

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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.