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Finding the Fourth Proportional to 2,106.87, 3,160.31 and 1,182.44

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Solution

The fourth proportional to 2,106.87, 3,160.31 and 1,182.44 is: 1,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.87 : 3,160.31 = 1,182.44 : x
  2. Step 2: Convert to fraction form
    2,106.87/3,160.31 = 1,182.44/x
  3. Step 3: Cross multiply
    2,106.87x = 3,160.31 × 1,182.44
  4. Step 4: Simplify right side
    2,106.87x = 3,736,871.04
  5. Step 5: Solve for x
    x = 3,736,871.04/2,106.87
  6. Step 6: Final answer
    x = 1,773.66

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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.