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Finding the Fourth Proportional to 3,314.75, 4,574.32 and 1,822.68

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Solution

The fourth proportional to 3,314.75, 4,574.32 and 1,822.68 is: 2,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.75 : 4,574.32 = 1,822.68 : x
  2. Step 2: Convert to fraction form
    3,314.75/4,574.32 = 1,822.68/x
  3. Step 3: Cross multiply
    3,314.75x = 4,574.32 × 1,822.68
  4. Step 4: Simplify right side
    3,314.75x = 8,337,517.02
  5. Step 5: Solve for x
    x = 8,337,517.02/3,314.75
  6. Step 6: Final answer
    x = 2,515.28

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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.