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Finding the Fourth Proportional to 2,838.18, 4,257.17 and 989.29

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Solution

The fourth proportional to 2,838.18, 4,257.17 and 989.29 is: 1,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.18 : 4,257.17 = 989.29 : x
  2. Step 2: Convert to fraction form
    2,838.18/4,257.17 = 989.29/x
  3. Step 3: Cross multiply
    2,838.18x = 4,257.17 × 989.29
  4. Step 4: Simplify right side
    2,838.18x = 4,211,563.83
  5. Step 5: Solve for x
    x = 4,211,563.83/2,838.18
  6. Step 6: Final answer
    x = 1,483.90

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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.