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Finding the Fourth Proportional to 3,418.54, 4,717.62 and 2,001.92

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Solution

The fourth proportional to 3,418.54, 4,717.62 and 2,001.92 is: 2,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.54 : 4,717.62 = 2,001.92 : x
  2. Step 2: Convert to fraction form
    3,418.54/4,717.62 = 2,001.92/x
  3. Step 3: Cross multiply
    3,418.54x = 4,717.62 × 2,001.92
  4. Step 4: Simplify right side
    3,418.54x = 9,444,274.24
  5. Step 5: Solve for x
    x = 9,444,274.24/3,418.54
  6. Step 6: Final answer
    x = 2,762.67

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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.