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Finding the Fourth Proportional to 3,314.68, 4,970.97 and 1,122.90

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Solution

The fourth proportional to 3,314.68, 4,970.97 and 1,122.90 is: 1,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.68 : 4,970.97 = 1,122.90 : x
  2. Step 2: Convert to fraction form
    3,314.68/4,970.97 = 1,122.90/x
  3. Step 3: Cross multiply
    3,314.68x = 4,970.97 × 1,122.90
  4. Step 4: Simplify right side
    3,314.68x = 5,581,874.55
  5. Step 5: Solve for x
    x = 5,581,874.55/3,314.68
  6. Step 6: Final answer
    x = 1,683.99

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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.