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Finding the Fourth Proportional to 2,859.78, 3,946.61 and 1,664.67

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Solution

The fourth proportional to 2,859.78, 3,946.61 and 1,664.67 is: 2,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.78 : 3,946.61 = 1,664.67 : x
  2. Step 2: Convert to fraction form
    2,859.78/3,946.61 = 1,664.67/x
  3. Step 3: Cross multiply
    2,859.78x = 3,946.61 × 1,664.67
  4. Step 4: Simplify right side
    2,859.78x = 6,569,794.95
  5. Step 5: Solve for x
    x = 6,569,794.95/2,859.78
  6. Step 6: Final answer
    x = 2,297.31

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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.