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Finding the Fourth Proportional to 2,398.36, 3,308.67 and 1,403.21

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Solution

The fourth proportional to 2,398.36, 3,308.67 and 1,403.21 is: 1,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.36 : 3,308.67 = 1,403.21 : x
  2. Step 2: Convert to fraction form
    2,398.36/3,308.67 = 1,403.21/x
  3. Step 3: Cross multiply
    2,398.36x = 3,308.67 × 1,403.21
  4. Step 4: Simplify right side
    2,398.36x = 4,642,745.80
  5. Step 5: Solve for x
    x = 4,642,745.80/2,398.36
  6. Step 6: Final answer
    x = 1,935.80

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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.