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Finding the Fourth Proportional to 2,401.82, 3,578.86 and 2,139.81

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Solution

The fourth proportional to 2,401.82, 3,578.86 and 2,139.81 is: 3,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.82 : 3,578.86 = 2,139.81 : x
  2. Step 2: Convert to fraction form
    2,401.82/3,578.86 = 2,139.81/x
  3. Step 3: Cross multiply
    2,401.82x = 3,578.86 × 2,139.81
  4. Step 4: Simplify right side
    2,401.82x = 7,658,084.89
  5. Step 5: Solve for x
    x = 7,658,084.89/2,401.82
  6. Step 6: Final answer
    x = 3,188.45

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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.