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Finding the Fourth Proportional to 2,682.12, 4,019.76 and 2,334

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Solution

The fourth proportional to 2,682.12, 4,019.76 and 2,334 is: 3,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.12 : 4,019.76 = 2,334 : x
  2. Step 2: Convert to fraction form
    2,682.12/4,019.76 = 2,334/x
  3. Step 3: Cross multiply
    2,682.12x = 4,019.76 × 2,334
  4. Step 4: Simplify right side
    2,682.12x = 9,382,119.84
  5. Step 5: Solve for x
    x = 9,382,119.84/2,682.12
  6. Step 6: Final answer
    x = 3,498.02

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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.