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Finding the Fourth Proportional to 1,747.24, 2,618.12 and 822.62

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Solution

The fourth proportional to 1,747.24, 2,618.12 and 822.62 is: 1,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.24 : 2,618.12 = 822.62 : x
  2. Step 2: Convert to fraction form
    1,747.24/2,618.12 = 822.62/x
  3. Step 3: Cross multiply
    1,747.24x = 2,618.12 × 822.62
  4. Step 4: Simplify right side
    1,747.24x = 2,153,726.48
  5. Step 5: Solve for x
    x = 2,153,726.48/1,747.24
  6. Step 6: Final answer
    x = 1,232.65

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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.