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Finding the Fourth Proportional to 2,299.32, 3,448.14 and 838.04

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Solution

The fourth proportional to 2,299.32, 3,448.14 and 838.04 is: 1,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.32 : 3,448.14 = 838.04 : x
  2. Step 2: Convert to fraction form
    2,299.32/3,448.14 = 838.04/x
  3. Step 3: Cross multiply
    2,299.32x = 3,448.14 × 838.04
  4. Step 4: Simplify right side
    2,299.32x = 2,889,679.25
  5. Step 5: Solve for x
    x = 2,889,679.25/2,299.32
  6. Step 6: Final answer
    x = 1,256.75

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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.