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Finding the Fourth Proportional to 2,160.84, 3,240.10 and 679.78

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Solution

The fourth proportional to 2,160.84, 3,240.10 and 679.78 is: 1,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.84 : 3,240.10 = 679.78 : x
  2. Step 2: Convert to fraction form
    2,160.84/3,240.10 = 679.78/x
  3. Step 3: Cross multiply
    2,160.84x = 3,240.10 × 679.78
  4. Step 4: Simplify right side
    2,160.84x = 2,202,567.28
  5. Step 5: Solve for x
    x = 2,202,567.28/2,160.84
  6. Step 6: Final answer
    x = 1,019.31

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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.