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Finding the Fourth Proportional to 2,549.86, 3,823.88 and 989.34

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Solution

The fourth proportional to 2,549.86, 3,823.88 and 989.34 is: 1,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.86 : 3,823.88 = 989.34 : x
  2. Step 2: Convert to fraction form
    2,549.86/3,823.88 = 989.34/x
  3. Step 3: Cross multiply
    2,549.86x = 3,823.88 × 989.34
  4. Step 4: Simplify right side
    2,549.86x = 3,783,117.44
  5. Step 5: Solve for x
    x = 3,783,117.44/2,549.86
  6. Step 6: Final answer
    x = 1,483.66

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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.