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Finding the Fourth Proportional to 3,177.72, 4,758.46 and 1,880.12

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Solution

The fourth proportional to 3,177.72, 4,758.46 and 1,880.12 is: 2,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.72 : 4,758.46 = 1,880.12 : x
  2. Step 2: Convert to fraction form
    3,177.72/4,758.46 = 1,880.12/x
  3. Step 3: Cross multiply
    3,177.72x = 4,758.46 × 1,880.12
  4. Step 4: Simplify right side
    3,177.72x = 8,946,475.82
  5. Step 5: Solve for x
    x = 8,946,475.82/3,177.72
  6. Step 6: Final answer
    x = 2,815.38

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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.