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Finding the Fourth Proportional to 2,201.91, 3,300.84 and 740.67

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Solution

The fourth proportional to 2,201.91, 3,300.84 and 740.67 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.91 : 3,300.84 = 740.67 : x
  2. Step 2: Convert to fraction form
    2,201.91/3,300.84 = 740.67/x
  3. Step 3: Cross multiply
    2,201.91x = 3,300.84 × 740.67
  4. Step 4: Simplify right side
    2,201.91x = 2,444,833.16
  5. Step 5: Solve for x
    x = 2,444,833.16/2,201.91
  6. Step 6: Final answer
    x = 1,110.32

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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.