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Finding the Fourth Proportional to 2,366.27, 3,549.98 and 722.81

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Solution

The fourth proportional to 2,366.27, 3,549.98 and 722.81 is: 1,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.27 : 3,549.98 = 722.81 : x
  2. Step 2: Convert to fraction form
    2,366.27/3,549.98 = 722.81/x
  3. Step 3: Cross multiply
    2,366.27x = 3,549.98 × 722.81
  4. Step 4: Simplify right side
    2,366.27x = 2,565,961.04
  5. Step 5: Solve for x
    x = 2,565,961.04/2,366.27
  6. Step 6: Final answer
    x = 1,084.39

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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.