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Finding the Fourth Proportional to 1,320.37, 1,822.17 and 927.52

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Solution

The fourth proportional to 1,320.37, 1,822.17 and 927.52 is: 1,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.37 : 1,822.17 = 927.52 : x
  2. Step 2: Convert to fraction form
    1,320.37/1,822.17 = 927.52/x
  3. Step 3: Cross multiply
    1,320.37x = 1,822.17 × 927.52
  4. Step 4: Simplify right side
    1,320.37x = 1,690,099.12
  5. Step 5: Solve for x
    x = 1,690,099.12/1,320.37
  6. Step 6: Final answer
    x = 1,280.02

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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.