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Finding the Fourth Proportional to 2,837.14, 4,255.83 and 988.44

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Solution

The fourth proportional to 2,837.14, 4,255.83 and 988.44 is: 1,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.14 : 4,255.83 = 988.44 : x
  2. Step 2: Convert to fraction form
    2,837.14/4,255.83 = 988.44/x
  3. Step 3: Cross multiply
    2,837.14x = 4,255.83 × 988.44
  4. Step 4: Simplify right side
    2,837.14x = 4,206,627.66
  5. Step 5: Solve for x
    x = 4,206,627.66/2,837.14
  6. Step 6: Final answer
    x = 1,482.70

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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.