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Finding the Fourth Proportional to 2,201.46, 3,302.73 and 740.73

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Solution

The fourth proportional to 2,201.46, 3,302.73 and 740.73 is: 1,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.46 : 3,302.73 = 740.73 : x
  2. Step 2: Convert to fraction form
    2,201.46/3,302.73 = 740.73/x
  3. Step 3: Cross multiply
    2,201.46x = 3,302.73 × 740.73
  4. Step 4: Simplify right side
    2,201.46x = 2,446,431.19
  5. Step 5: Solve for x
    x = 2,446,431.19/2,201.46
  6. Step 6: Final answer
    x = 1,111.28

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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.