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Finding the Fourth Proportional to 2,299.28, 3,448.86 and 913.36

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Solution

The fourth proportional to 2,299.28, 3,448.86 and 913.36 is: 1,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.28 : 3,448.86 = 913.36 : x
  2. Step 2: Convert to fraction form
    2,299.28/3,448.86 = 913.36/x
  3. Step 3: Cross multiply
    2,299.28x = 3,448.86 × 913.36
  4. Step 4: Simplify right side
    2,299.28x = 3,150,050.77
  5. Step 5: Solve for x
    x = 3,150,050.77/2,299.28
  6. Step 6: Final answer
    x = 1,370.02

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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.