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Finding the Fourth Proportional to 2,230.16, 3,345.77 and 769.28

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Solution

The fourth proportional to 2,230.16, 3,345.77 and 769.28 is: 1,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.16 : 3,345.77 = 769.28 : x
  2. Step 2: Convert to fraction form
    2,230.16/3,345.77 = 769.28/x
  3. Step 3: Cross multiply
    2,230.16x = 3,345.77 × 769.28
  4. Step 4: Simplify right side
    2,230.16x = 2,573,819.14
  5. Step 5: Solve for x
    x = 2,573,819.14/2,230.16
  6. Step 6: Final answer
    x = 1,154.09

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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.