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Finding the Fourth Proportional to 2,965.48, 4,089.18 and 2,081

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Solution

The fourth proportional to 2,965.48, 4,089.18 and 2,081 is: 2,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.48 : 4,089.18 = 2,081 : x
  2. Step 2: Convert to fraction form
    2,965.48/4,089.18 = 2,081/x
  3. Step 3: Cross multiply
    2,965.48x = 4,089.18 × 2,081
  4. Step 4: Simplify right side
    2,965.48x = 8,509,583.58
  5. Step 5: Solve for x
    x = 8,509,583.58/2,965.48
  6. Step 6: Final answer
    x = 2,869.55

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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.