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Finding the Fourth Proportional to 2,278.70, 3,183.70 and 2,278.70

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Solution

The fourth proportional to 2,278.70, 3,183.70 and 2,278.70 is: 3,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.70 : 3,183.70 = 2,278.70 : x
  2. Step 2: Convert to fraction form
    2,278.70/3,183.70 = 2,278.70/x
  3. Step 3: Cross multiply
    2,278.70x = 3,183.70 × 2,278.70
  4. Step 4: Simplify right side
    2,278.70x = 7,254,697.19
  5. Step 5: Solve for x
    x = 7,254,697.19/2,278.70
  6. Step 6: Final answer
    x = 3,183.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.