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Finding the Fourth Proportional to 2,400.30, 3,310.79 and 1,603.31

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Solution

The fourth proportional to 2,400.30, 3,310.79 and 1,603.31 is: 2,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.30 : 3,310.79 = 1,603.31 : x
  2. Step 2: Convert to fraction form
    2,400.30/3,310.79 = 1,603.31/x
  3. Step 3: Cross multiply
    2,400.30x = 3,310.79 × 1,603.31
  4. Step 4: Simplify right side
    2,400.30x = 5,308,225.79
  5. Step 5: Solve for x
    x = 5,308,225.79/2,400.30
  6. Step 6: Final answer
    x = 2,211.48

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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.