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Finding the Fourth Proportional to 1,491.02, 2,057.23 and 901.44

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Solution

The fourth proportional to 1,491.02, 2,057.23 and 901.44 is: 1,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.02 : 2,057.23 = 901.44 : x
  2. Step 2: Convert to fraction form
    1,491.02/2,057.23 = 901.44/x
  3. Step 3: Cross multiply
    1,491.02x = 2,057.23 × 901.44
  4. Step 4: Simplify right side
    1,491.02x = 1,854,469.41
  5. Step 5: Solve for x
    x = 1,854,469.41/1,491.02
  6. Step 6: Final answer
    x = 1,243.76

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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.