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Finding the Fourth Proportional to 2,982.05, 4,473.60 and 1,007.70

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Solution

The fourth proportional to 2,982.05, 4,473.60 and 1,007.70 is: 1,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.05 : 4,473.60 = 1,007.70 : x
  2. Step 2: Convert to fraction form
    2,982.05/4,473.60 = 1,007.70/x
  3. Step 3: Cross multiply
    2,982.05x = 4,473.60 × 1,007.70
  4. Step 4: Simplify right side
    2,982.05x = 4,508,030.50
  5. Step 5: Solve for x
    x = 4,508,030.50/2,982.05
  6. Step 6: Final answer
    x = 1,511.72

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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.