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Finding the Fourth Proportional to 1,185.72, 1,636.91 and 937.86

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Solution

The fourth proportional to 1,185.72, 1,636.91 and 937.86 is: 1,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.72 : 1,636.91 = 937.86 : x
  2. Step 2: Convert to fraction form
    1,185.72/1,636.91 = 937.86/x
  3. Step 3: Cross multiply
    1,185.72x = 1,636.91 × 937.86
  4. Step 4: Simplify right side
    1,185.72x = 1,535,192.41
  5. Step 5: Solve for x
    x = 1,535,192.41/1,185.72
  6. Step 6: Final answer
    x = 1,294.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.