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Finding the Fourth Proportional to 3,111.41, 4,665.67 and 1,650.17

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Solution

The fourth proportional to 3,111.41, 4,665.67 and 1,650.17 is: 2,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.41 : 4,665.67 = 1,650.17 : x
  2. Step 2: Convert to fraction form
    3,111.41/4,665.67 = 1,650.17/x
  3. Step 3: Cross multiply
    3,111.41x = 4,665.67 × 1,650.17
  4. Step 4: Simplify right side
    3,111.41x = 7,699,156.20
  5. Step 5: Solve for x
    x = 7,699,156.20/3,111.41
  6. Step 6: Final answer
    x = 2,474.49

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Why These Related Problems?

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