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Finding the Fourth Proportional to 1,373.81, 1,896.57 and 814.46

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Solution

The fourth proportional to 1,373.81, 1,896.57 and 814.46 is: 1,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.81 : 1,896.57 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,373.81/1,896.57 = 814.46/x
  3. Step 3: Cross multiply
    1,373.81x = 1,896.57 × 814.46
  4. Step 4: Simplify right side
    1,373.81x = 1,544,670.92
  5. Step 5: Solve for x
    x = 1,544,670.92/1,373.81
  6. Step 6: Final answer
    x = 1,124.37

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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.