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Finding the Fourth Proportional to 2,069.71, 2,856.20 and 1,138.21

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Solution

The fourth proportional to 2,069.71, 2,856.20 and 1,138.21 is: 1,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.71 : 2,856.20 = 1,138.21 : x
  2. Step 2: Convert to fraction form
    2,069.71/2,856.20 = 1,138.21/x
  3. Step 3: Cross multiply
    2,069.71x = 2,856.20 × 1,138.21
  4. Step 4: Simplify right side
    2,069.71x = 3,250,943.64
  5. Step 5: Solve for x
    x = 3,250,943.64/2,069.71
  6. Step 6: Final answer
    x = 1,570.73

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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.