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Finding the Fourth Proportional to 2,484.54, 3,722.49 and 1,511.46

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Solution

The fourth proportional to 2,484.54, 3,722.49 and 1,511.46 is: 2,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.54 : 3,722.49 = 1,511.46 : x
  2. Step 2: Convert to fraction form
    2,484.54/3,722.49 = 1,511.46/x
  3. Step 3: Cross multiply
    2,484.54x = 3,722.49 × 1,511.46
  4. Step 4: Simplify right side
    2,484.54x = 5,626,394.74
  5. Step 5: Solve for x
    x = 5,626,394.74/2,484.54
  6. Step 6: Final answer
    x = 2,264.56

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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.