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Finding the Fourth Proportional to 2,165.62, 2,987.49 and 2,081.79

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Solution

The fourth proportional to 2,165.62, 2,987.49 and 2,081.79 is: 2,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.62 : 2,987.49 = 2,081.79 : x
  2. Step 2: Convert to fraction form
    2,165.62/2,987.49 = 2,081.79/x
  3. Step 3: Cross multiply
    2,165.62x = 2,987.49 × 2,081.79
  4. Step 4: Simplify right side
    2,165.62x = 6,219,311.87
  5. Step 5: Solve for x
    x = 6,219,311.87/2,165.62
  6. Step 6: Final answer
    x = 2,871.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.