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Finding the Fourth Proportional to 1,491.70, 2,237.68 and 613.99

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Solution

The fourth proportional to 1,491.70, 2,237.68 and 613.99 is: 921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.70 : 2,237.68 = 613.99 : x
  2. Step 2: Convert to fraction form
    1,491.70/2,237.68 = 613.99/x
  3. Step 3: Cross multiply
    1,491.70x = 2,237.68 × 613.99
  4. Step 4: Simplify right side
    1,491.70x = 1,373,917.20
  5. Step 5: Solve for x
    x = 1,373,917.20/1,491.70
  6. Step 6: Final answer
    x = 921.04

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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.