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Finding the Fourth Proportional to 2,154.68, 3,232.02 and 839.05

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Solution

The fourth proportional to 2,154.68, 3,232.02 and 839.05 is: 1,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.68 : 3,232.02 = 839.05 : x
  2. Step 2: Convert to fraction form
    2,154.68/3,232.02 = 839.05/x
  3. Step 3: Cross multiply
    2,154.68x = 3,232.02 × 839.05
  4. Step 4: Simplify right side
    2,154.68x = 2,711,826.38
  5. Step 5: Solve for x
    x = 2,711,826.38/2,154.68
  6. Step 6: Final answer
    x = 1,258.58

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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.