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Finding the Fourth Proportional to 2,438.54, 3,367.16 and 2,316.23

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Solution

The fourth proportional to 2,438.54, 3,367.16 and 2,316.23 is: 3,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.54 : 3,367.16 = 2,316.23 : x
  2. Step 2: Convert to fraction form
    2,438.54/3,367.16 = 2,316.23/x
  3. Step 3: Cross multiply
    2,438.54x = 3,367.16 × 2,316.23
  4. Step 4: Simplify right side
    2,438.54x = 7,799,088.59
  5. Step 5: Solve for x
    x = 7,799,088.59/2,438.54
  6. Step 6: Final answer
    x = 3,198.27

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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.