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Finding the Fourth Proportional to 3,136.19, 4,327.70 and 1,809

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Solution

The fourth proportional to 3,136.19, 4,327.70 and 1,809 is: 2,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.19 : 4,327.70 = 1,809 : x
  2. Step 2: Convert to fraction form
    3,136.19/4,327.70 = 1,809/x
  3. Step 3: Cross multiply
    3,136.19x = 4,327.70 × 1,809
  4. Step 4: Simplify right side
    3,136.19x = 7,828,800.26
  5. Step 5: Solve for x
    x = 7,828,800.26/3,136.19
  6. Step 6: Final answer
    x = 2,496.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.