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Finding the Fourth Proportional to 2,596.56, 3,874.28 and 2,439

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Solution

The fourth proportional to 2,596.56, 3,874.28 and 2,439 is: 3,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.56 : 3,874.28 = 2,439 : x
  2. Step 2: Convert to fraction form
    2,596.56/3,874.28 = 2,439/x
  3. Step 3: Cross multiply
    2,596.56x = 3,874.28 × 2,439
  4. Step 4: Simplify right side
    2,596.56x = 9,449,356.73
  5. Step 5: Solve for x
    x = 9,449,356.73/2,596.56
  6. Step 6: Final answer
    x = 3,639.18

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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.