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Finding the Fourth Proportional to 2,054.75, 3,082.58 and 593.79

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Solution

The fourth proportional to 2,054.75, 3,082.58 and 593.79 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.75 : 3,082.58 = 593.79 : x
  2. Step 2: Convert to fraction form
    2,054.75/3,082.58 = 593.79/x
  3. Step 3: Cross multiply
    2,054.75x = 3,082.58 × 593.79
  4. Step 4: Simplify right side
    2,054.75x = 1,830,411.89
  5. Step 5: Solve for x
    x = 1,830,411.89/2,054.75
  6. Step 6: Final answer
    x = 890.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.