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Finding the Fourth Proportional to 1,444.23, 1,990.85 and 1,232.82

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Solution

The fourth proportional to 1,444.23, 1,990.85 and 1,232.82 is: 1,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.23 : 1,990.85 = 1,232.82 : x
  2. Step 2: Convert to fraction form
    1,444.23/1,990.85 = 1,232.82/x
  3. Step 3: Cross multiply
    1,444.23x = 1,990.85 × 1,232.82
  4. Step 4: Simplify right side
    1,444.23x = 2,454,353.53
  5. Step 5: Solve for x
    x = 2,454,353.53/1,444.23
  6. Step 6: Final answer
    x = 1,699.42

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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.