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Finding the Fourth Proportional to 3,136.26, 4,703.31 and 944.40

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Solution

The fourth proportional to 3,136.26, 4,703.31 and 944.40 is: 1,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.26 : 4,703.31 = 944.40 : x
  2. Step 2: Convert to fraction form
    3,136.26/4,703.31 = 944.40/x
  3. Step 3: Cross multiply
    3,136.26x = 4,703.31 × 944.40
  4. Step 4: Simplify right side
    3,136.26x = 4,441,805.96
  5. Step 5: Solve for x
    x = 4,441,805.96/3,136.26
  6. Step 6: Final answer
    x = 1,416.27

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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.