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Finding the Fourth Proportional to 3,025.48, 4,538.12 and 834.16

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Solution

The fourth proportional to 3,025.48, 4,538.12 and 834.16 is: 1,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.48 : 4,538.12 = 834.16 : x
  2. Step 2: Convert to fraction form
    3,025.48/4,538.12 = 834.16/x
  3. Step 3: Cross multiply
    3,025.48x = 4,538.12 × 834.16
  4. Step 4: Simplify right side
    3,025.48x = 3,785,518.18
  5. Step 5: Solve for x
    x = 3,785,518.18/3,025.48
  6. Step 6: Final answer
    x = 1,251.21

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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.