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Finding the Fourth Proportional to 2,400.06, 3,615.47 and 2,369.82

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Solution

The fourth proportional to 2,400.06, 3,615.47 and 2,369.82 is: 3,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.06 : 3,615.47 = 2,369.82 : x
  2. Step 2: Convert to fraction form
    2,400.06/3,615.47 = 2,369.82/x
  3. Step 3: Cross multiply
    2,400.06x = 3,615.47 × 2,369.82
  4. Step 4: Simplify right side
    2,400.06x = 8,568,001.27
  5. Step 5: Solve for x
    x = 8,568,001.27/2,400.06
  6. Step 6: Final answer
    x = 3,569.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.