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Finding the Fourth Proportional to 3,001.14, 4,501.71 and 809.86

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Solution

The fourth proportional to 3,001.14, 4,501.71 and 809.86 is: 1,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.14 : 4,501.71 = 809.86 : x
  2. Step 2: Convert to fraction form
    3,001.14/4,501.71 = 809.86/x
  3. Step 3: Cross multiply
    3,001.14x = 4,501.71 × 809.86
  4. Step 4: Simplify right side
    3,001.14x = 3,645,763.08
  5. Step 5: Solve for x
    x = 3,645,763.08/3,001.14
  6. Step 6: Final answer
    x = 1,214.79

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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.