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Finding the Fourth Proportional to 2,438.50, 3,365.13 and 1,319.44

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Solution

The fourth proportional to 2,438.50, 3,365.13 and 1,319.44 is: 1,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.50 : 3,365.13 = 1,319.44 : x
  2. Step 2: Convert to fraction form
    2,438.50/3,365.13 = 1,319.44/x
  3. Step 3: Cross multiply
    2,438.50x = 3,365.13 × 1,319.44
  4. Step 4: Simplify right side
    2,438.50x = 4,440,078.71
  5. Step 5: Solve for x
    x = 4,440,078.71/2,438.50
  6. Step 6: Final answer
    x = 1,820.83

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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.