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Finding the Fourth Proportional to 3,118.26, 4,677.64 and 809.76

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Solution

The fourth proportional to 3,118.26, 4,677.64 and 809.76 is: 1,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.26 : 4,677.64 = 809.76 : x
  2. Step 2: Convert to fraction form
    3,118.26/4,677.64 = 809.76/x
  3. Step 3: Cross multiply
    3,118.26x = 4,677.64 × 809.76
  4. Step 4: Simplify right side
    3,118.26x = 3,787,765.77
  5. Step 5: Solve for x
    x = 3,787,765.77/3,118.26
  6. Step 6: Final answer
    x = 1,214.70

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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.