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Finding the Fourth Proportional to 3,126.39, 4,687.74 and 1,178.73

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Solution

The fourth proportional to 3,126.39, 4,687.74 and 1,178.73 is: 1,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.39 : 4,687.74 = 1,178.73 : x
  2. Step 2: Convert to fraction form
    3,126.39/4,687.74 = 1,178.73/x
  3. Step 3: Cross multiply
    3,126.39x = 4,687.74 × 1,178.73
  4. Step 4: Simplify right side
    3,126.39x = 5,525,579.77
  5. Step 5: Solve for x
    x = 5,525,579.77/3,126.39
  6. Step 6: Final answer
    x = 1,767.40

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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.