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Finding the Fourth Proportional to 1,671.16, 2,504.04 and 1,178.44

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Solution

The fourth proportional to 1,671.16, 2,504.04 and 1,178.44 is: 1,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.16 : 2,504.04 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    1,671.16/2,504.04 = 1,178.44/x
  3. Step 3: Cross multiply
    1,671.16x = 2,504.04 × 1,178.44
  4. Step 4: Simplify right side
    1,671.16x = 2,950,860.90
  5. Step 5: Solve for x
    x = 2,950,860.90/1,671.16
  6. Step 6: Final answer
    x = 1,765.76

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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.