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Finding the Fourth Proportional to 2,201.12, 3,301.64 and 740.24

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Solution

The fourth proportional to 2,201.12, 3,301.64 and 740.24 is: 1,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.12 : 3,301.64 = 740.24 : x
  2. Step 2: Convert to fraction form
    2,201.12/3,301.64 = 740.24/x
  3. Step 3: Cross multiply
    2,201.12x = 3,301.64 × 740.24
  4. Step 4: Simplify right side
    2,201.12x = 2,444,005.99
  5. Step 5: Solve for x
    x = 2,444,005.99/2,201.12
  6. Step 6: Final answer
    x = 1,110.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.