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Finding the Fourth Proportional to 2,231.84, 3,095 and 2,160.56

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Solution

The fourth proportional to 2,231.84, 3,095 and 2,160.56 is: 2,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.84 : 3,095 = 2,160.56 : x
  2. Step 2: Convert to fraction form
    2,231.84/3,095 = 2,160.56/x
  3. Step 3: Cross multiply
    2,231.84x = 3,095 × 2,160.56
  4. Step 4: Simplify right side
    2,231.84x = 6,686,933.20
  5. Step 5: Solve for x
    x = 6,686,933.20/2,231.84
  6. Step 6: Final answer
    x = 2,996.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.