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Finding the Fourth Proportional to 2,049.39, 3,073.64 and 588.22

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Solution

The fourth proportional to 2,049.39, 3,073.64 and 588.22 is: 882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.39 : 3,073.64 = 588.22 : x
  2. Step 2: Convert to fraction form
    2,049.39/3,073.64 = 588.22/x
  3. Step 3: Cross multiply
    2,049.39x = 3,073.64 × 588.22
  4. Step 4: Simplify right side
    2,049.39x = 1,807,965.90
  5. Step 5: Solve for x
    x = 1,807,965.90/2,049.39
  6. Step 6: Final answer
    x = 882.20

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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.