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Finding the Fourth Proportional to 2,911.69, 4,019.15 and 1,732.74

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Solution

The fourth proportional to 2,911.69, 4,019.15 and 1,732.74 is: 2,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.69 : 4,019.15 = 1,732.74 : x
  2. Step 2: Convert to fraction form
    2,911.69/4,019.15 = 1,732.74/x
  3. Step 3: Cross multiply
    2,911.69x = 4,019.15 × 1,732.74
  4. Step 4: Simplify right side
    2,911.69x = 6,964,113.21
  5. Step 5: Solve for x
    x = 6,964,113.21/2,911.69
  6. Step 6: Final answer
    x = 2,391.78

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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.