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Finding the Fourth Proportional to 2,866.38, 4,296.43 and 1,305.98

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Solution

The fourth proportional to 2,866.38, 4,296.43 and 1,305.98 is: 1,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.38 : 4,296.43 = 1,305.98 : x
  2. Step 2: Convert to fraction form
    2,866.38/4,296.43 = 1,305.98/x
  3. Step 3: Cross multiply
    2,866.38x = 4,296.43 × 1,305.98
  4. Step 4: Simplify right side
    2,866.38x = 5,611,051.65
  5. Step 5: Solve for x
    x = 5,611,051.65/2,866.38
  6. Step 6: Final answer
    x = 1,957.54

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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.