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Finding the Fourth Proportional to 2,054.71, 3,082.09 and 593.88

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Solution

The fourth proportional to 2,054.71, 3,082.09 and 593.88 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.71 : 3,082.09 = 593.88 : x
  2. Step 2: Convert to fraction form
    2,054.71/3,082.09 = 593.88/x
  3. Step 3: Cross multiply
    2,054.71x = 3,082.09 × 593.88
  4. Step 4: Simplify right side
    2,054.71x = 1,830,374.71
  5. Step 5: Solve for x
    x = 1,830,374.71/2,054.71
  6. Step 6: Final answer
    x = 890.82

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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.