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Finding the Fourth Proportional to 2,889.38, 4,338.12 and 1,790.48

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Solution

The fourth proportional to 2,889.38, 4,338.12 and 1,790.48 is: 2,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.38 : 4,338.12 = 1,790.48 : x
  2. Step 2: Convert to fraction form
    2,889.38/4,338.12 = 1,790.48/x
  3. Step 3: Cross multiply
    2,889.38x = 4,338.12 × 1,790.48
  4. Step 4: Simplify right side
    2,889.38x = 7,767,317.10
  5. Step 5: Solve for x
    x = 7,767,317.10/2,889.38
  6. Step 6: Final answer
    x = 2,688.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.