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Finding the Fourth Proportional to 2,707.88, 4,063.38 and 1,147.76

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Solution

The fourth proportional to 2,707.88, 4,063.38 and 1,147.76 is: 1,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.88 : 4,063.38 = 1,147.76 : x
  2. Step 2: Convert to fraction form
    2,707.88/4,063.38 = 1,147.76/x
  3. Step 3: Cross multiply
    2,707.88x = 4,063.38 × 1,147.76
  4. Step 4: Simplify right side
    2,707.88x = 4,663,785.03
  5. Step 5: Solve for x
    x = 4,663,785.03/2,707.88
  6. Step 6: Final answer
    x = 1,722.30

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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.