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Finding the Fourth Proportional to 2,858.73, 3,943.80 and 2,019.30

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Solution

The fourth proportional to 2,858.73, 3,943.80 and 2,019.30 is: 2,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.73 : 3,943.80 = 2,019.30 : x
  2. Step 2: Convert to fraction form
    2,858.73/3,943.80 = 2,019.30/x
  3. Step 3: Cross multiply
    2,858.73x = 3,943.80 × 2,019.30
  4. Step 4: Simplify right side
    2,858.73x = 7,963,715.34
  5. Step 5: Solve for x
    x = 7,963,715.34/2,858.73
  6. Step 6: Final answer
    x = 2,785.75

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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.