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Finding the Fourth Proportional to 2,295.67, 3,444.90 and 834.70

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Solution

The fourth proportional to 2,295.67, 3,444.90 and 834.70 is: 1,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.67 : 3,444.90 = 834.70 : x
  2. Step 2: Convert to fraction form
    2,295.67/3,444.90 = 834.70/x
  3. Step 3: Cross multiply
    2,295.67x = 3,444.90 × 834.70
  4. Step 4: Simplify right side
    2,295.67x = 2,875,458.03
  5. Step 5: Solve for x
    x = 2,875,458.03/2,295.67
  6. Step 6: Final answer
    x = 1,252.56

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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.