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Finding the Fourth Proportional to 2,201.25, 3,301.18 and 740.06

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Solution

The fourth proportional to 2,201.25, 3,301.18 and 740.06 is: 1,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.25 : 3,301.18 = 740.06 : x
  2. Step 2: Convert to fraction form
    2,201.25/3,301.18 = 740.06/x
  3. Step 3: Cross multiply
    2,201.25x = 3,301.18 × 740.06
  4. Step 4: Simplify right side
    2,201.25x = 2,443,071.27
  5. Step 5: Solve for x
    x = 2,443,071.27/2,201.25
  6. Step 6: Final answer
    x = 1,109.86

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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.