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Finding the Fourth Proportional to 2,394.48, 3,592.62 and 834.60

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Solution

The fourth proportional to 2,394.48, 3,592.62 and 834.60 is: 1,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.48 : 3,592.62 = 834.60 : x
  2. Step 2: Convert to fraction form
    2,394.48/3,592.62 = 834.60/x
  3. Step 3: Cross multiply
    2,394.48x = 3,592.62 × 834.60
  4. Step 4: Simplify right side
    2,394.48x = 2,998,400.65
  5. Step 5: Solve for x
    x = 2,998,400.65/2,394.48
  6. Step 6: Final answer
    x = 1,252.21

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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.