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Finding the Fourth Proportional to 2,468, 3,405.38 and 1,524.61

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Solution

The fourth proportional to 2,468, 3,405.38 and 1,524.61 is: 2,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468 : 3,405.38 = 1,524.61 : x
  2. Step 2: Convert to fraction form
    2,468/3,405.38 = 1,524.61/x
  3. Step 3: Cross multiply
    2,468x = 3,405.38 × 1,524.61
  4. Step 4: Simplify right side
    2,468x = 5,191,851.75
  5. Step 5: Solve for x
    x = 5,191,851.75/2,468
  6. Step 6: Final answer
    x = 2,103.67

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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.