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Finding the Fourth Proportional to 2,275.82, 3,414.55 and 795.26

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Solution

The fourth proportional to 2,275.82, 3,414.55 and 795.26 is: 1,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.82 : 3,414.55 = 795.26 : x
  2. Step 2: Convert to fraction form
    2,275.82/3,414.55 = 795.26/x
  3. Step 3: Cross multiply
    2,275.82x = 3,414.55 × 795.26
  4. Step 4: Simplify right side
    2,275.82x = 2,715,455.03
  5. Step 5: Solve for x
    x = 2,715,455.03/2,275.82
  6. Step 6: Final answer
    x = 1,193.18

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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.