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Finding the Fourth Proportional to 1,991.08, 2,987.04 and 585.61

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Solution

The fourth proportional to 1,991.08, 2,987.04 and 585.61 is: 878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.08 : 2,987.04 = 585.61 : x
  2. Step 2: Convert to fraction form
    1,991.08/2,987.04 = 585.61/x
  3. Step 3: Cross multiply
    1,991.08x = 2,987.04 × 585.61
  4. Step 4: Simplify right side
    1,991.08x = 1,749,240.49
  5. Step 5: Solve for x
    x = 1,749,240.49/1,991.08
  6. Step 6: Final answer
    x = 878.54

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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.