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Finding the Fourth Proportional to 3,314.52, 4,970.34 and 1,234.17

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Solution

The fourth proportional to 3,314.52, 4,970.34 and 1,234.17 is: 1,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.52 : 4,970.34 = 1,234.17 : x
  2. Step 2: Convert to fraction form
    3,314.52/4,970.34 = 1,234.17/x
  3. Step 3: Cross multiply
    3,314.52x = 4,970.34 × 1,234.17
  4. Step 4: Simplify right side
    3,314.52x = 6,134,244.52
  5. Step 5: Solve for x
    x = 6,134,244.52/3,314.52
  6. Step 6: Final answer
    x = 1,850.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.