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Finding the Fourth Proportional to 3,136.23, 4,704.89 and 944.64

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Solution

The fourth proportional to 3,136.23, 4,704.89 and 944.64 is: 1,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.23 : 4,704.89 = 944.64 : x
  2. Step 2: Convert to fraction form
    3,136.23/4,704.89 = 944.64/x
  3. Step 3: Cross multiply
    3,136.23x = 4,704.89 × 944.64
  4. Step 4: Simplify right side
    3,136.23x = 4,444,422.57
  5. Step 5: Solve for x
    x = 4,444,422.57/3,136.23
  6. Step 6: Final answer
    x = 1,417.12

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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.