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Finding the Fourth Proportional to 2,069.96, 2,856.05 and 1,399.01

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Solution

The fourth proportional to 2,069.96, 2,856.05 and 1,399.01 is: 1,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.96 : 2,856.05 = 1,399.01 : x
  2. Step 2: Convert to fraction form
    2,069.96/2,856.05 = 1,399.01/x
  3. Step 3: Cross multiply
    2,069.96x = 2,856.05 × 1,399.01
  4. Step 4: Simplify right side
    2,069.96x = 3,995,647.79
  5. Step 5: Solve for x
    x = 3,995,647.79/2,069.96
  6. Step 6: Final answer
    x = 1,930.30

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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.