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Finding the Fourth Proportional to 2,201.75, 3,301.93 and 740.56

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Solution

The fourth proportional to 2,201.75, 3,301.93 and 740.56 is: 1,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.75 : 3,301.93 = 740.56 : x
  2. Step 2: Convert to fraction form
    2,201.75/3,301.93 = 740.56/x
  3. Step 3: Cross multiply
    2,201.75x = 3,301.93 × 740.56
  4. Step 4: Simplify right side
    2,201.75x = 2,445,267.17
  5. Step 5: Solve for x
    x = 2,445,267.17/2,201.75
  6. Step 6: Final answer
    x = 1,110.60

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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.