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Finding the Fourth Proportional to 2,758.27, 3,807.51 and 1,919.46

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Solution

The fourth proportional to 2,758.27, 3,807.51 and 1,919.46 is: 2,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.27 : 3,807.51 = 1,919.46 : x
  2. Step 2: Convert to fraction form
    2,758.27/3,807.51 = 1,919.46/x
  3. Step 3: Cross multiply
    2,758.27x = 3,807.51 × 1,919.46
  4. Step 4: Simplify right side
    2,758.27x = 7,308,363.14
  5. Step 5: Solve for x
    x = 7,308,363.14/2,758.27
  6. Step 6: Final answer
    x = 2,649.62

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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.