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Finding the Fourth Proportional to 3,025.38, 4,538.07 and 834.74

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Solution

The fourth proportional to 3,025.38, 4,538.07 and 834.74 is: 1,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.38 : 4,538.07 = 834.74 : x
  2. Step 2: Convert to fraction form
    3,025.38/4,538.07 = 834.74/x
  3. Step 3: Cross multiply
    3,025.38x = 4,538.07 × 834.74
  4. Step 4: Simplify right side
    3,025.38x = 3,788,108.55
  5. Step 5: Solve for x
    x = 3,788,108.55/3,025.38
  6. Step 6: Final answer
    x = 1,252.11

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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.