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Finding the Fourth Proportional to 2,138.40, 3,201.84 and 1,551.72

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Solution

The fourth proportional to 2,138.40, 3,201.84 and 1,551.72 is: 2,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 3,201.84 = 1,551.72 : x
  2. Step 2: Convert to fraction form
    2,138.40/3,201.84 = 1,551.72/x
  3. Step 3: Cross multiply
    2,138.40x = 3,201.84 × 1,551.72
  4. Step 4: Simplify right side
    2,138.40x = 4,968,359.16
  5. Step 5: Solve for x
    x = 4,968,359.16/2,138.40
  6. Step 6: Final answer
    x = 2,323.40

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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.