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Finding the Fourth Proportional to 2,366.14, 3,549.39 and 723.84

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Solution

The fourth proportional to 2,366.14, 3,549.39 and 723.84 is: 1,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.14 : 3,549.39 = 723.84 : x
  2. Step 2: Convert to fraction form
    2,366.14/3,549.39 = 723.84/x
  3. Step 3: Cross multiply
    2,366.14x = 3,549.39 × 723.84
  4. Step 4: Simplify right side
    2,366.14x = 2,569,180.54
  5. Step 5: Solve for x
    x = 2,569,180.54/2,366.14
  6. Step 6: Final answer
    x = 1,085.81

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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.