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Finding the Fourth Proportional to 3,499, 5,246.80 and 1,648.56

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Solution

The fourth proportional to 3,499, 5,246.80 and 1,648.56 is: 2,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499 : 5,246.80 = 1,648.56 : x
  2. Step 2: Convert to fraction form
    3,499/5,246.80 = 1,648.56/x
  3. Step 3: Cross multiply
    3,499x = 5,246.80 × 1,648.56
  4. Step 4: Simplify right side
    3,499x = 8,649,664.61
  5. Step 5: Solve for x
    x = 8,649,664.61/3,499
  6. Step 6: Final answer
    x = 2,472.04

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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.