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Finding the Fourth Proportional to 1,491.24, 2,238.53 and 876.09

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Solution

The fourth proportional to 1,491.24, 2,238.53 and 876.09 is: 1,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.24 : 2,238.53 = 876.09 : x
  2. Step 2: Convert to fraction form
    1,491.24/2,238.53 = 876.09/x
  3. Step 3: Cross multiply
    1,491.24x = 2,238.53 × 876.09
  4. Step 4: Simplify right side
    1,491.24x = 1,961,149.37
  5. Step 5: Solve for x
    x = 1,961,149.37/1,491.24
  6. Step 6: Final answer
    x = 1,315.11

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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.