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Finding the Fourth Proportional to 2,981.89, 4,473.32 and 1,007.71

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Solution

The fourth proportional to 2,981.89, 4,473.32 and 1,007.71 is: 1,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.89 : 4,473.32 = 1,007.71 : x
  2. Step 2: Convert to fraction form
    2,981.89/4,473.32 = 1,007.71/x
  3. Step 3: Cross multiply
    2,981.89x = 4,473.32 × 1,007.71
  4. Step 4: Simplify right side
    2,981.89x = 4,507,809.30
  5. Step 5: Solve for x
    x = 4,507,809.30/2,981.89
  6. Step 6: Final answer
    x = 1,511.73

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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.