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Finding the Fourth Proportional to 3,104.97, 4,660.51 and 2,280.93

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Solution

The fourth proportional to 3,104.97, 4,660.51 and 2,280.93 is: 3,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.97 : 4,660.51 = 2,280.93 : x
  2. Step 2: Convert to fraction form
    3,104.97/4,660.51 = 2,280.93/x
  3. Step 3: Cross multiply
    3,104.97x = 4,660.51 × 2,280.93
  4. Step 4: Simplify right side
    3,104.97x = 10,630,273.77
  5. Step 5: Solve for x
    x = 10,630,273.77/3,104.97
  6. Step 6: Final answer
    x = 3,423.64

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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.