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Finding the Fourth Proportional to 2,591.23, 3,868.04 and 2,398.50

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Solution

The fourth proportional to 2,591.23, 3,868.04 and 2,398.50 is: 3,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.23 : 3,868.04 = 2,398.50 : x
  2. Step 2: Convert to fraction form
    2,591.23/3,868.04 = 2,398.50/x
  3. Step 3: Cross multiply
    2,591.23x = 3,868.04 × 2,398.50
  4. Step 4: Simplify right side
    2,591.23x = 9,277,493.94
  5. Step 5: Solve for x
    x = 9,277,493.94/2,591.23
  6. Step 6: Final answer
    x = 3,580.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.