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Finding the Fourth Proportional to 2,549.27, 3,823.20 and 988.98

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Solution

The fourth proportional to 2,549.27, 3,823.20 and 988.98 is: 1,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.27 : 3,823.20 = 988.98 : x
  2. Step 2: Convert to fraction form
    2,549.27/3,823.20 = 988.98/x
  3. Step 3: Cross multiply
    2,549.27x = 3,823.20 × 988.98
  4. Step 4: Simplify right side
    2,549.27x = 3,781,054.00
  5. Step 5: Solve for x
    x = 3,781,054.00/2,549.27
  6. Step 6: Final answer
    x = 1,483.19

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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.