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Finding the Fourth Proportional to 2,746.57, 4,118.55 and 798.25

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Solution

The fourth proportional to 2,746.57, 4,118.55 and 798.25 is: 1,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.57 : 4,118.55 = 798.25 : x
  2. Step 2: Convert to fraction form
    2,746.57/4,118.55 = 798.25/x
  3. Step 3: Cross multiply
    2,746.57x = 4,118.55 × 798.25
  4. Step 4: Simplify right side
    2,746.57x = 3,287,632.54
  5. Step 5: Solve for x
    x = 3,287,632.54/2,746.57
  6. Step 6: Final answer
    x = 1,197.00

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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.