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Finding the Fourth Proportional to 2,699, 3,724.66 and 1,650.92

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Solution

The fourth proportional to 2,699, 3,724.66 and 1,650.92 is: 2,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699 : 3,724.66 = 1,650.92 : x
  2. Step 2: Convert to fraction form
    2,699/3,724.66 = 1,650.92/x
  3. Step 3: Cross multiply
    2,699x = 3,724.66 × 1,650.92
  4. Step 4: Simplify right side
    2,699x = 6,149,115.69
  5. Step 5: Solve for x
    x = 6,149,115.69/2,699
  6. Step 6: Final answer
    x = 2,278.29

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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.