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Finding the Fourth Proportional to 2,756.89, 4,135.40 and 809.15

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Solution

The fourth proportional to 2,756.89, 4,135.40 and 809.15 is: 1,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.89 : 4,135.40 = 809.15 : x
  2. Step 2: Convert to fraction form
    2,756.89/4,135.40 = 809.15/x
  3. Step 3: Cross multiply
    2,756.89x = 4,135.40 × 809.15
  4. Step 4: Simplify right side
    2,756.89x = 3,346,154.86
  5. Step 5: Solve for x
    x = 3,346,154.86/2,756.89
  6. Step 6: Final answer
    x = 1,213.74

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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.