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Finding the Fourth Proportional to 2,399.28, 3,578.72 and 2,326.40

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Solution

The fourth proportional to 2,399.28, 3,578.72 and 2,326.40 is: 3,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.28 : 3,578.72 = 2,326.40 : x
  2. Step 2: Convert to fraction form
    2,399.28/3,578.72 = 2,326.40/x
  3. Step 3: Cross multiply
    2,399.28x = 3,578.72 × 2,326.40
  4. Step 4: Simplify right side
    2,399.28x = 8,325,534.21
  5. Step 5: Solve for x
    x = 8,325,534.21/2,399.28
  6. Step 6: Final answer
    x = 3,470.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.