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Finding the Fourth Proportional to 3,068.71, 4,234.92 and 1,742.47

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Solution

The fourth proportional to 3,068.71, 4,234.92 and 1,742.47 is: 2,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.71 : 4,234.92 = 1,742.47 : x
  2. Step 2: Convert to fraction form
    3,068.71/4,234.92 = 1,742.47/x
  3. Step 3: Cross multiply
    3,068.71x = 4,234.92 × 1,742.47
  4. Step 4: Simplify right side
    3,068.71x = 7,379,221.05
  5. Step 5: Solve for x
    x = 7,379,221.05/3,068.71
  6. Step 6: Final answer
    x = 2,404.67

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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.