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Finding the Fourth Proportional to 2,911.96, 4,019 and 1,733.08

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Solution

The fourth proportional to 2,911.96, 4,019 and 1,733.08 is: 2,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.96 : 4,019 = 1,733.08 : x
  2. Step 2: Convert to fraction form
    2,911.96/4,019 = 1,733.08/x
  3. Step 3: Cross multiply
    2,911.96x = 4,019 × 1,733.08
  4. Step 4: Simplify right side
    2,911.96x = 6,965,248.52
  5. Step 5: Solve for x
    x = 6,965,248.52/2,911.96
  6. Step 6: Final answer
    x = 2,391.95

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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.