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Finding the Fourth Proportional to 2,758.29, 3,808.22 and 2,014.10

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Solution

The fourth proportional to 2,758.29, 3,808.22 and 2,014.10 is: 2,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.29 : 3,808.22 = 2,014.10 : x
  2. Step 2: Convert to fraction form
    2,758.29/3,808.22 = 2,014.10/x
  3. Step 3: Cross multiply
    2,758.29x = 3,808.22 × 2,014.10
  4. Step 4: Simplify right side
    2,758.29x = 7,670,121.07
  5. Step 5: Solve for x
    x = 7,670,121.07/2,758.29
  6. Step 6: Final answer
    x = 2,780.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.