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Finding the Fourth Proportional to 2,783.65, 4,191.99 and 2,422.80

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Solution

The fourth proportional to 2,783.65, 4,191.99 and 2,422.80 is: 3,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.65 : 4,191.99 = 2,422.80 : x
  2. Step 2: Convert to fraction form
    2,783.65/4,191.99 = 2,422.80/x
  3. Step 3: Cross multiply
    2,783.65x = 4,191.99 × 2,422.80
  4. Step 4: Simplify right side
    2,783.65x = 10,156,353.37
  5. Step 5: Solve for x
    x = 10,156,353.37/2,783.65
  6. Step 6: Final answer
    x = 3,648.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.