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Finding the Fourth Proportional to 2,865.96, 4,302.63 and 1,945.62

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Solution

The fourth proportional to 2,865.96, 4,302.63 and 1,945.62 is: 2,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.96 : 4,302.63 = 1,945.62 : x
  2. Step 2: Convert to fraction form
    2,865.96/4,302.63 = 1,945.62/x
  3. Step 3: Cross multiply
    2,865.96x = 4,302.63 × 1,945.62
  4. Step 4: Simplify right side
    2,865.96x = 8,371,282.98
  5. Step 5: Solve for x
    x = 8,371,282.98/2,865.96
  6. Step 6: Final answer
    x = 2,920.94

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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.