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Finding the Fourth Proportional to 2,836.62, 4,255.69 and 987.84

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Solution

The fourth proportional to 2,836.62, 4,255.69 and 987.84 is: 1,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.62 : 4,255.69 = 987.84 : x
  2. Step 2: Convert to fraction form
    2,836.62/4,255.69 = 987.84/x
  3. Step 3: Cross multiply
    2,836.62x = 4,255.69 × 987.84
  4. Step 4: Simplify right side
    2,836.62x = 4,203,919.53
  5. Step 5: Solve for x
    x = 4,203,919.53/2,836.62
  6. Step 6: Final answer
    x = 1,482.02

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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.