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Finding the Fourth Proportional to 2,402.24, 3,315.09 and 1,298.24

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Solution

The fourth proportional to 2,402.24, 3,315.09 and 1,298.24 is: 1,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.24 : 3,315.09 = 1,298.24 : x
  2. Step 2: Convert to fraction form
    2,402.24/3,315.09 = 1,298.24/x
  3. Step 3: Cross multiply
    2,402.24x = 3,315.09 × 1,298.24
  4. Step 4: Simplify right side
    2,402.24x = 4,303,759.37
  5. Step 5: Solve for x
    x = 4,303,759.37/2,402.24
  6. Step 6: Final answer
    x = 1,791.56

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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.