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Finding the Fourth Proportional to 2,438.84, 3,648.92 and 1,399.34

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Solution

The fourth proportional to 2,438.84, 3,648.92 and 1,399.34 is: 2,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.84 : 3,648.92 = 1,399.34 : x
  2. Step 2: Convert to fraction form
    2,438.84/3,648.92 = 1,399.34/x
  3. Step 3: Cross multiply
    2,438.84x = 3,648.92 × 1,399.34
  4. Step 4: Simplify right side
    2,438.84x = 5,106,081.84
  5. Step 5: Solve for x
    x = 5,106,081.84/2,438.84
  6. Step 6: Final answer
    x = 2,093.65

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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.