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Finding the Fourth Proportional to 2,089.66, 2,882.36 and 1,344.56

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Solution

The fourth proportional to 2,089.66, 2,882.36 and 1,344.56 is: 1,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.66 : 2,882.36 = 1,344.56 : x
  2. Step 2: Convert to fraction form
    2,089.66/2,882.36 = 1,344.56/x
  3. Step 3: Cross multiply
    2,089.66x = 2,882.36 × 1,344.56
  4. Step 4: Simplify right side
    2,089.66x = 3,875,505.96
  5. Step 5: Solve for x
    x = 3,875,505.96/2,089.66
  6. Step 6: Final answer
    x = 1,854.61

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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.