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Finding the Fourth Proportional to 2,857.64, 4,286.44 and 1,918.44

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Solution

The fourth proportional to 2,857.64, 4,286.44 and 1,918.44 is: 2,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.64 : 4,286.44 = 1,918.44 : x
  2. Step 2: Convert to fraction form
    2,857.64/4,286.44 = 1,918.44/x
  3. Step 3: Cross multiply
    2,857.64x = 4,286.44 × 1,918.44
  4. Step 4: Simplify right side
    2,857.64x = 8,223,277.95
  5. Step 5: Solve for x
    x = 8,223,277.95/2,857.64
  6. Step 6: Final answer
    x = 2,877.65

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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.