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Finding the Fourth Proportional to 2,230.44, 3,345.54 and 769.68

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Solution

The fourth proportional to 2,230.44, 3,345.54 and 769.68 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.44 : 3,345.54 = 769.68 : x
  2. Step 2: Convert to fraction form
    2,230.44/3,345.54 = 769.68/x
  3. Step 3: Cross multiply
    2,230.44x = 3,345.54 × 769.68
  4. Step 4: Simplify right side
    2,230.44x = 2,574,995.23
  5. Step 5: Solve for x
    x = 2,574,995.23/2,230.44
  6. Step 6: Final answer
    x = 1,154.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.