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Finding the Fourth Proportional to 2,709.11, 4,063.32 and 1,149.75

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Solution

The fourth proportional to 2,709.11, 4,063.32 and 1,149.75 is: 1,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.11 : 4,063.32 = 1,149.75 : x
  2. Step 2: Convert to fraction form
    2,709.11/4,063.32 = 1,149.75/x
  3. Step 3: Cross multiply
    2,709.11x = 4,063.32 × 1,149.75
  4. Step 4: Simplify right side
    2,709.11x = 4,671,802.17
  5. Step 5: Solve for x
    x = 4,671,802.17/2,709.11
  6. Step 6: Final answer
    x = 1,724.48

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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.