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Finding the Fourth Proportional to 2,251.97, 3,106.34 and 1,454.03

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Solution

The fourth proportional to 2,251.97, 3,106.34 and 1,454.03 is: 2,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.97 : 3,106.34 = 1,454.03 : x
  2. Step 2: Convert to fraction form
    2,251.97/3,106.34 = 1,454.03/x
  3. Step 3: Cross multiply
    2,251.97x = 3,106.34 × 1,454.03
  4. Step 4: Simplify right side
    2,251.97x = 4,516,688.75
  5. Step 5: Solve for x
    x = 4,516,688.75/2,251.97
  6. Step 6: Final answer
    x = 2,005.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.