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Finding the Fourth Proportional to 2,231.47, 3,347.99 and 998.77

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Solution

The fourth proportional to 2,231.47, 3,347.99 and 998.77 is: 1,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.47 : 3,347.99 = 998.77 : x
  2. Step 2: Convert to fraction form
    2,231.47/3,347.99 = 998.77/x
  3. Step 3: Cross multiply
    2,231.47x = 3,347.99 × 998.77
  4. Step 4: Simplify right side
    2,231.47x = 3,343,871.97
  5. Step 5: Solve for x
    x = 3,343,871.97/2,231.47
  6. Step 6: Final answer
    x = 1,498.51

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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.