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Finding the Fourth Proportional to 3,114.24, 4,671.44 and 805.76

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Solution

The fourth proportional to 3,114.24, 4,671.44 and 805.76 is: 1,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.24 : 4,671.44 = 805.76 : x
  2. Step 2: Convert to fraction form
    3,114.24/4,671.44 = 805.76/x
  3. Step 3: Cross multiply
    3,114.24x = 4,671.44 × 805.76
  4. Step 4: Simplify right side
    3,114.24x = 3,764,059.49
  5. Step 5: Solve for x
    x = 3,764,059.49/3,114.24
  6. Step 6: Final answer
    x = 1,208.66

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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.