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Finding the Fourth Proportional to 2,091.47, 3,136.98 and 630.59

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Solution

The fourth proportional to 2,091.47, 3,136.98 and 630.59 is: 945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.47 : 3,136.98 = 630.59 : x
  2. Step 2: Convert to fraction form
    2,091.47/3,136.98 = 630.59/x
  3. Step 3: Cross multiply
    2,091.47x = 3,136.98 × 630.59
  4. Step 4: Simplify right side
    2,091.47x = 1,978,131.35
  5. Step 5: Solve for x
    x = 1,978,131.35/2,091.47
  6. Step 6: Final answer
    x = 945.81

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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.