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Finding the Fourth Proportional to 2,230.23, 3,345.80 and 769.19

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Solution

The fourth proportional to 2,230.23, 3,345.80 and 769.19 is: 1,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.23 : 3,345.80 = 769.19 : x
  2. Step 2: Convert to fraction form
    2,230.23/3,345.80 = 769.19/x
  3. Step 3: Cross multiply
    2,230.23x = 3,345.80 × 769.19
  4. Step 4: Simplify right side
    2,230.23x = 2,573,566.19
  5. Step 5: Solve for x
    x = 2,573,566.19/2,230.23
  6. Step 6: Final answer
    x = 1,153.95

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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.