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Finding the Fourth Proportional to 3,068.46, 4,234.19 and 1,742.09

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Solution

The fourth proportional to 3,068.46, 4,234.19 and 1,742.09 is: 2,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.46 : 4,234.19 = 1,742.09 : x
  2. Step 2: Convert to fraction form
    3,068.46/4,234.19 = 1,742.09/x
  3. Step 3: Cross multiply
    3,068.46x = 4,234.19 × 1,742.09
  4. Step 4: Simplify right side
    3,068.46x = 7,376,310.18
  5. Step 5: Solve for x
    x = 7,376,310.18/3,068.46
  6. Step 6: Final answer
    x = 2,403.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.