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Finding the Fourth Proportional to 2,474.66, 3,712.36 and 808.26

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Solution

The fourth proportional to 2,474.66, 3,712.36 and 808.26 is: 1,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.66 : 3,712.36 = 808.26 : x
  2. Step 2: Convert to fraction form
    2,474.66/3,712.36 = 808.26/x
  3. Step 3: Cross multiply
    2,474.66x = 3,712.36 × 808.26
  4. Step 4: Simplify right side
    2,474.66x = 3,000,552.09
  5. Step 5: Solve for x
    x = 3,000,552.09/2,474.66
  6. Step 6: Final answer
    x = 1,212.51

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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.