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Finding the Fourth Proportional to 2,681.28, 4,014 and 2,216.88

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Solution

The fourth proportional to 2,681.28, 4,014 and 2,216.88 is: 3,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.28 : 4,014 = 2,216.88 : x
  2. Step 2: Convert to fraction form
    2,681.28/4,014 = 2,216.88/x
  3. Step 3: Cross multiply
    2,681.28x = 4,014 × 2,216.88
  4. Step 4: Simplify right side
    2,681.28x = 8,898,556.32
  5. Step 5: Solve for x
    x = 8,898,556.32/2,681.28
  6. Step 6: Final answer
    x = 3,318.77

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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.