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Finding the Fourth Proportional to 2,073.20, 2,857.07 and 1,482.71

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Solution

The fourth proportional to 2,073.20, 2,857.07 and 1,482.71 is: 2,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.20 : 2,857.07 = 1,482.71 : x
  2. Step 2: Convert to fraction form
    2,073.20/2,857.07 = 1,482.71/x
  3. Step 3: Cross multiply
    2,073.20x = 2,857.07 × 1,482.71
  4. Step 4: Simplify right side
    2,073.20x = 4,236,195.68
  5. Step 5: Solve for x
    x = 4,236,195.68/2,073.20
  6. Step 6: Final answer
    x = 2,043.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.