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Finding the Fourth Proportional to 3,136.58, 4,705.66 and 945.26

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Solution

The fourth proportional to 3,136.58, 4,705.66 and 945.26 is: 1,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.58 : 4,705.66 = 945.26 : x
  2. Step 2: Convert to fraction form
    3,136.58/4,705.66 = 945.26/x
  3. Step 3: Cross multiply
    3,136.58x = 4,705.66 × 945.26
  4. Step 4: Simplify right side
    3,136.58x = 4,448,072.17
  5. Step 5: Solve for x
    x = 4,448,072.17/3,136.58
  6. Step 6: Final answer
    x = 1,418.13

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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.