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Finding the Fourth Proportional to 2,591.08, 3,902.11 and 2,270.32

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Solution

The fourth proportional to 2,591.08, 3,902.11 and 2,270.32 is: 3,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.08 : 3,902.11 = 2,270.32 : x
  2. Step 2: Convert to fraction form
    2,591.08/3,902.11 = 2,270.32/x
  3. Step 3: Cross multiply
    2,591.08x = 3,902.11 × 2,270.32
  4. Step 4: Simplify right side
    2,591.08x = 8,859,038.38
  5. Step 5: Solve for x
    x = 8,859,038.38/2,591.08
  6. Step 6: Final answer
    x = 3,419.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.