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Finding the Fourth Proportional to 2,280.74, 3,150.15 and 1,620.46

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Solution

The fourth proportional to 2,280.74, 3,150.15 and 1,620.46 is: 2,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.74 : 3,150.15 = 1,620.46 : x
  2. Step 2: Convert to fraction form
    2,280.74/3,150.15 = 1,620.46/x
  3. Step 3: Cross multiply
    2,280.74x = 3,150.15 × 1,620.46
  4. Step 4: Simplify right side
    2,280.74x = 5,104,684.19
  5. Step 5: Solve for x
    x = 5,104,684.19/2,280.74
  6. Step 6: Final answer
    x = 2,238.17

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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.