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Finding the Fourth Proportional to 2,155.21, 3,232.13 and 838.89

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Solution

The fourth proportional to 2,155.21, 3,232.13 and 838.89 is: 1,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.21 : 3,232.13 = 838.89 : x
  2. Step 2: Convert to fraction form
    2,155.21/3,232.13 = 838.89/x
  3. Step 3: Cross multiply
    2,155.21x = 3,232.13 × 838.89
  4. Step 4: Simplify right side
    2,155.21x = 2,711,397.34
  5. Step 5: Solve for x
    x = 2,711,397.34/2,155.21
  6. Step 6: Final answer
    x = 1,258.07

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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.