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Finding the Fourth Proportional to 2,054.49, 3,082.18 and 593.52

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Solution

The fourth proportional to 2,054.49, 3,082.18 and 593.52 is: 890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.49 : 3,082.18 = 593.52 : x
  2. Step 2: Convert to fraction form
    2,054.49/3,082.18 = 593.52/x
  3. Step 3: Cross multiply
    2,054.49x = 3,082.18 × 593.52
  4. Step 4: Simplify right side
    2,054.49x = 1,829,335.47
  5. Step 5: Solve for x
    x = 1,829,335.47/2,054.49
  6. Step 6: Final answer
    x = 890.41

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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.