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Finding the Fourth Proportional to 2,140.80, 3,207.68 and 2,060.88

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Solution

The fourth proportional to 2,140.80, 3,207.68 and 2,060.88 is: 3,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,207.68 = 2,060.88 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,207.68 = 2,060.88/x
  3. Step 3: Cross multiply
    2,140.80x = 3,207.68 × 2,060.88
  4. Step 4: Simplify right side
    2,140.80x = 6,610,643.56
  5. Step 5: Solve for x
    x = 6,610,643.56/2,140.80
  6. Step 6: Final answer
    x = 3,087.93

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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.