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Finding the Fourth Proportional to 2,645.20, 3,956.46 and 2,574.46

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Solution

The fourth proportional to 2,645.20, 3,956.46 and 2,574.46 is: 3,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.20 : 3,956.46 = 2,574.46 : x
  2. Step 2: Convert to fraction form
    2,645.20/3,956.46 = 2,574.46/x
  3. Step 3: Cross multiply
    2,645.20x = 3,956.46 × 2,574.46
  4. Step 4: Simplify right side
    2,645.20x = 10,185,748.01
  5. Step 5: Solve for x
    x = 10,185,748.01/2,645.20
  6. Step 6: Final answer
    x = 3,850.65

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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.