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Finding the Fourth Proportional to 3,068.45, 4,234.32 and 1,742.12

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Solution

The fourth proportional to 3,068.45, 4,234.32 and 1,742.12 is: 2,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.45 : 4,234.32 = 1,742.12 : x
  2. Step 2: Convert to fraction form
    3,068.45/4,234.32 = 1,742.12/x
  3. Step 3: Cross multiply
    3,068.45x = 4,234.32 × 1,742.12
  4. Step 4: Simplify right side
    3,068.45x = 7,376,672.39
  5. Step 5: Solve for x
    x = 7,376,672.39/3,068.45
  6. Step 6: Final answer
    x = 2,404.04

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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.