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Finding the Fourth Proportional to 3,136.05, 4,702.23 and 1,187.80

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Solution

The fourth proportional to 3,136.05, 4,702.23 and 1,187.80 is: 1,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.05 : 4,702.23 = 1,187.80 : x
  2. Step 2: Convert to fraction form
    3,136.05/4,702.23 = 1,187.80/x
  3. Step 3: Cross multiply
    3,136.05x = 4,702.23 × 1,187.80
  4. Step 4: Simplify right side
    3,136.05x = 5,585,297.04
  5. Step 5: Solve for x
    x = 5,585,297.04/3,136.05
  6. Step 6: Final answer
    x = 1,781.00

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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.