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Finding the Fourth Proportional to 2,920.42, 4,359.83 and 2,817.90

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Solution

The fourth proportional to 2,920.42, 4,359.83 and 2,817.90 is: 4,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.42 : 4,359.83 = 2,817.90 : x
  2. Step 2: Convert to fraction form
    2,920.42/4,359.83 = 2,817.90/x
  3. Step 3: Cross multiply
    2,920.42x = 4,359.83 × 2,817.90
  4. Step 4: Simplify right side
    2,920.42x = 12,285,564.96
  5. Step 5: Solve for x
    x = 12,285,564.96/2,920.42
  6. Step 6: Final answer
    x = 4,206.78

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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.