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Finding the Fourth Proportional to 2,054.72, 3,081.35 and 593.58

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Solution

The fourth proportional to 2,054.72, 3,081.35 and 593.58 is: 890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.72 : 3,081.35 = 593.58 : x
  2. Step 2: Convert to fraction form
    2,054.72/3,081.35 = 593.58/x
  3. Step 3: Cross multiply
    2,054.72x = 3,081.35 × 593.58
  4. Step 4: Simplify right side
    2,054.72x = 1,829,027.73
  5. Step 5: Solve for x
    x = 1,829,027.73/2,054.72
  6. Step 6: Final answer
    x = 890.16

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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.