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Finding the Fourth Proportional to 2,491.45, 3,737.16 and 1,188.97

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Solution

The fourth proportional to 2,491.45, 3,737.16 and 1,188.97 is: 1,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.45 : 3,737.16 = 1,188.97 : x
  2. Step 2: Convert to fraction form
    2,491.45/3,737.16 = 1,188.97/x
  3. Step 3: Cross multiply
    2,491.45x = 3,737.16 × 1,188.97
  4. Step 4: Simplify right side
    2,491.45x = 4,443,371.13
  5. Step 5: Solve for x
    x = 4,443,371.13/2,491.45
  6. Step 6: Final answer
    x = 1,783.45

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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.