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Finding the Fourth Proportional to 2,287.92, 3,136.72 and 2,246.40

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Solution

The fourth proportional to 2,287.92, 3,136.72 and 2,246.40 is: 3,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.92 : 3,136.72 = 2,246.40 : x
  2. Step 2: Convert to fraction form
    2,287.92/3,136.72 = 2,246.40/x
  3. Step 3: Cross multiply
    2,287.92x = 3,136.72 × 2,246.40
  4. Step 4: Simplify right side
    2,287.92x = 7,046,327.81
  5. Step 5: Solve for x
    x = 7,046,327.81/2,287.92
  6. Step 6: Final answer
    x = 3,079.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.