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Finding the Fourth Proportional to 1,778.37, 2,664.32 and 1,311

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Solution

The fourth proportional to 1,778.37, 2,664.32 and 1,311 is: 1,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.37 : 2,664.32 = 1,311 : x
  2. Step 2: Convert to fraction form
    1,778.37/2,664.32 = 1,311/x
  3. Step 3: Cross multiply
    1,778.37x = 2,664.32 × 1,311
  4. Step 4: Simplify right side
    1,778.37x = 3,492,916.97
  5. Step 5: Solve for x
    x = 3,492,916.97/1,778.37
  6. Step 6: Final answer
    x = 1,964.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.