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Finding the Fourth Proportional to 2,201.53, 3,300.53 and 1,506.46

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Solution

The fourth proportional to 2,201.53, 3,300.53 and 1,506.46 is: 2,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.53 : 3,300.53 = 1,506.46 : x
  2. Step 2: Convert to fraction form
    2,201.53/3,300.53 = 1,506.46/x
  3. Step 3: Cross multiply
    2,201.53x = 3,300.53 × 1,506.46
  4. Step 4: Simplify right side
    2,201.53x = 4,972,100.64
  5. Step 5: Solve for x
    x = 4,972,100.64/2,201.53
  6. Step 6: Final answer
    x = 2,258.48

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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.