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Finding the Fourth Proportional to 2,366.93, 3,549.89 and 886.10

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Solution

The fourth proportional to 2,366.93, 3,549.89 and 886.10 is: 1,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.93 : 3,549.89 = 886.10 : x
  2. Step 2: Convert to fraction form
    2,366.93/3,549.89 = 886.10/x
  3. Step 3: Cross multiply
    2,366.93x = 3,549.89 × 886.10
  4. Step 4: Simplify right side
    2,366.93x = 3,145,540.75
  5. Step 5: Solve for x
    x = 3,145,540.75/2,366.93
  6. Step 6: Final answer
    x = 1,328.95

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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.