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Finding the Fourth Proportional to 2,454.68, 3,674.78 and 1,620.20

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Solution

The fourth proportional to 2,454.68, 3,674.78 and 1,620.20 is: 2,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.68 : 3,674.78 = 1,620.20 : x
  2. Step 2: Convert to fraction form
    2,454.68/3,674.78 = 1,620.20/x
  3. Step 3: Cross multiply
    2,454.68x = 3,674.78 × 1,620.20
  4. Step 4: Simplify right side
    2,454.68x = 5,953,871.94
  5. Step 5: Solve for x
    x = 5,953,871.94/2,454.68
  6. Step 6: Final answer
    x = 2,425.52

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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.