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Finding the Fourth Proportional to 1,601.82, 2,400.71 and 723.39

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Solution

The fourth proportional to 1,601.82, 2,400.71 and 723.39 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.82 : 2,400.71 = 723.39 : x
  2. Step 2: Convert to fraction form
    1,601.82/2,400.71 = 723.39/x
  3. Step 3: Cross multiply
    1,601.82x = 2,400.71 × 723.39
  4. Step 4: Simplify right side
    1,601.82x = 1,736,649.61
  5. Step 5: Solve for x
    x = 1,736,649.61/1,601.82
  6. Step 6: Final answer
    x = 1,084.17

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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.