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Finding the Fourth Proportional to 2,280.62, 3,404.62 and 2,034.56

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Solution

The fourth proportional to 2,280.62, 3,404.62 and 2,034.56 is: 3,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.62 : 3,404.62 = 2,034.56 : x
  2. Step 2: Convert to fraction form
    2,280.62/3,404.62 = 2,034.56/x
  3. Step 3: Cross multiply
    2,280.62x = 3,404.62 × 2,034.56
  4. Step 4: Simplify right side
    2,280.62x = 6,926,903.67
  5. Step 5: Solve for x
    x = 6,926,903.67/2,280.62
  6. Step 6: Final answer
    x = 3,037.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.