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Finding the Fourth Proportional to 3,068.50, 4,234.17 and 1,742.16

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Solution

The fourth proportional to 3,068.50, 4,234.17 and 1,742.16 is: 2,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.50 : 4,234.17 = 1,742.16 : x
  2. Step 2: Convert to fraction form
    3,068.50/4,234.17 = 1,742.16/x
  3. Step 3: Cross multiply
    3,068.50x = 4,234.17 × 1,742.16
  4. Step 4: Simplify right side
    3,068.50x = 7,376,601.61
  5. Step 5: Solve for x
    x = 7,376,601.61/3,068.50
  6. Step 6: Final answer
    x = 2,403.98

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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.