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Finding the Fourth Proportional to 3,001.05, 4,500.89 and 809.95

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Solution

The fourth proportional to 3,001.05, 4,500.89 and 809.95 is: 1,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.05 : 4,500.89 = 809.95 : x
  2. Step 2: Convert to fraction form
    3,001.05/4,500.89 = 809.95/x
  3. Step 3: Cross multiply
    3,001.05x = 4,500.89 × 809.95
  4. Step 4: Simplify right side
    3,001.05x = 3,645,495.86
  5. Step 5: Solve for x
    x = 3,645,495.86/3,001.05
  6. Step 6: Final answer
    x = 1,214.74

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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.