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Finding the Fourth Proportional to 2,746.35, 4,119.80 and 798.57

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Solution

The fourth proportional to 2,746.35, 4,119.80 and 798.57 is: 1,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.35 : 4,119.80 = 798.57 : x
  2. Step 2: Convert to fraction form
    2,746.35/4,119.80 = 798.57/x
  3. Step 3: Cross multiply
    2,746.35x = 4,119.80 × 798.57
  4. Step 4: Simplify right side
    2,746.35x = 3,289,944.69
  5. Step 5: Solve for x
    x = 3,289,944.69/2,746.35
  6. Step 6: Final answer
    x = 1,197.93

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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.