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Finding the Fourth Proportional to 2,450.76, 3,677.04 and 990.32

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Solution

The fourth proportional to 2,450.76, 3,677.04 and 990.32 is: 1,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.76 : 3,677.04 = 990.32 : x
  2. Step 2: Convert to fraction form
    2,450.76/3,677.04 = 990.32/x
  3. Step 3: Cross multiply
    2,450.76x = 3,677.04 × 990.32
  4. Step 4: Simplify right side
    2,450.76x = 3,641,446.25
  5. Step 5: Solve for x
    x = 3,641,446.25/2,450.76
  6. Step 6: Final answer
    x = 1,485.84

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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.