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Finding the Fourth Proportional to 2,548.74, 3,816.63 and 2,334.90

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Solution

The fourth proportional to 2,548.74, 3,816.63 and 2,334.90 is: 3,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.74 : 3,816.63 = 2,334.90 : x
  2. Step 2: Convert to fraction form
    2,548.74/3,816.63 = 2,334.90/x
  3. Step 3: Cross multiply
    2,548.74x = 3,816.63 × 2,334.90
  4. Step 4: Simplify right side
    2,548.74x = 8,911,449.39
  5. Step 5: Solve for x
    x = 8,911,449.39/2,548.74
  6. Step 6: Final answer
    x = 3,496.41

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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.