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Finding the Fourth Proportional to 2,608.49, 3,931.07 and 2,348.78

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Solution

The fourth proportional to 2,608.49, 3,931.07 and 2,348.78 is: 3,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.49 : 3,931.07 = 2,348.78 : x
  2. Step 2: Convert to fraction form
    2,608.49/3,931.07 = 2,348.78/x
  3. Step 3: Cross multiply
    2,608.49x = 3,931.07 × 2,348.78
  4. Step 4: Simplify right side
    2,608.49x = 9,233,209.31
  5. Step 5: Solve for x
    x = 9,233,209.31/2,608.49
  6. Step 6: Final answer
    x = 3,539.68

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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.