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Finding the Fourth Proportional to 2,827.65, 4,237.01 and 2,297.97

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Solution

The fourth proportional to 2,827.65, 4,237.01 and 2,297.97 is: 3,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.65 : 4,237.01 = 2,297.97 : x
  2. Step 2: Convert to fraction form
    2,827.65/4,237.01 = 2,297.97/x
  3. Step 3: Cross multiply
    2,827.65x = 4,237.01 × 2,297.97
  4. Step 4: Simplify right side
    2,827.65x = 9,736,510.38
  5. Step 5: Solve for x
    x = 9,736,510.38/2,827.65
  6. Step 6: Final answer
    x = 3,443.32

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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.