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Finding the Fourth Proportional to 2,054.15, 3,081.68 and 593.18

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Solution

The fourth proportional to 2,054.15, 3,081.68 and 593.18 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.15 : 3,081.68 = 593.18 : x
  2. Step 2: Convert to fraction form
    2,054.15/3,081.68 = 593.18/x
  3. Step 3: Cross multiply
    2,054.15x = 3,081.68 × 593.18
  4. Step 4: Simplify right side
    2,054.15x = 1,827,972.57
  5. Step 5: Solve for x
    x = 1,827,972.57/2,054.15
  6. Step 6: Final answer
    x = 889.89

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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.