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Finding the Fourth Proportional to 2,201.79, 3,300.90 and 1,506.72

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Solution

The fourth proportional to 2,201.79, 3,300.90 and 1,506.72 is: 2,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.79 : 3,300.90 = 1,506.72 : x
  2. Step 2: Convert to fraction form
    2,201.79/3,300.90 = 1,506.72/x
  3. Step 3: Cross multiply
    2,201.79x = 3,300.90 × 1,506.72
  4. Step 4: Simplify right side
    2,201.79x = 4,973,532.05
  5. Step 5: Solve for x
    x = 4,973,532.05/2,201.79
  6. Step 6: Final answer
    x = 2,258.86

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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.