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Finding the Fourth Proportional to 2,631.98, 3,948.38 and 989.91

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Solution

The fourth proportional to 2,631.98, 3,948.38 and 989.91 is: 1,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.98 : 3,948.38 = 989.91 : x
  2. Step 2: Convert to fraction form
    2,631.98/3,948.38 = 989.91/x
  3. Step 3: Cross multiply
    2,631.98x = 3,948.38 × 989.91
  4. Step 4: Simplify right side
    2,631.98x = 3,908,535.90
  5. Step 5: Solve for x
    x = 3,908,535.90/2,631.98
  6. Step 6: Final answer
    x = 1,485.02

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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.