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Finding the Fourth Proportional to 2,054.77, 3,081.69 and 593.60

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Solution

The fourth proportional to 2,054.77, 3,081.69 and 593.60 is: 890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.77 : 3,081.69 = 593.60 : x
  2. Step 2: Convert to fraction form
    2,054.77/3,081.69 = 593.60/x
  3. Step 3: Cross multiply
    2,054.77x = 3,081.69 × 593.60
  4. Step 4: Simplify right side
    2,054.77x = 1,829,291.18
  5. Step 5: Solve for x
    x = 1,829,291.18/2,054.77
  6. Step 6: Final answer
    x = 890.27

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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.