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Finding the Fourth Proportional to 1,620.57, 2,414.61 and 1,549.80

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Solution

The fourth proportional to 1,620.57, 2,414.61 and 1,549.80 is: 2,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.57 : 2,414.61 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    1,620.57/2,414.61 = 1,549.80/x
  3. Step 3: Cross multiply
    1,620.57x = 2,414.61 × 1,549.80
  4. Step 4: Simplify right side
    1,620.57x = 3,742,162.58
  5. Step 5: Solve for x
    x = 3,742,162.58/1,620.57
  6. Step 6: Final answer
    x = 2,309.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.