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Finding the Fourth Proportional to 2,230.76, 3,347.06 and 997.34

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Solution

The fourth proportional to 2,230.76, 3,347.06 and 997.34 is: 1,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.76 : 3,347.06 = 997.34 : x
  2. Step 2: Convert to fraction form
    2,230.76/3,347.06 = 997.34/x
  3. Step 3: Cross multiply
    2,230.76x = 3,347.06 × 997.34
  4. Step 4: Simplify right side
    2,230.76x = 3,338,135.10
  5. Step 5: Solve for x
    x = 3,338,135.10/2,230.76
  6. Step 6: Final answer
    x = 1,496.41

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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.