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Finding the Fourth Proportional to 2,260.26, 3,386.70 and 798.66

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Solution

The fourth proportional to 2,260.26, 3,386.70 and 798.66 is: 1,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.26 : 3,386.70 = 798.66 : x
  2. Step 2: Convert to fraction form
    2,260.26/3,386.70 = 798.66/x
  3. Step 3: Cross multiply
    2,260.26x = 3,386.70 × 798.66
  4. Step 4: Simplify right side
    2,260.26x = 2,704,821.82
  5. Step 5: Solve for x
    x = 2,704,821.82/2,260.26
  6. Step 6: Final answer
    x = 1,196.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.