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Finding the Fourth Proportional to 3,102.08, 4,280.86 and 1,775.78

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Solution

The fourth proportional to 3,102.08, 4,280.86 and 1,775.78 is: 2,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.08 : 4,280.86 = 1,775.78 : x
  2. Step 2: Convert to fraction form
    3,102.08/4,280.86 = 1,775.78/x
  3. Step 3: Cross multiply
    3,102.08x = 4,280.86 × 1,775.78
  4. Step 4: Simplify right side
    3,102.08x = 7,601,865.57
  5. Step 5: Solve for x
    x = 7,601,865.57/3,102.08
  6. Step 6: Final answer
    x = 2,450.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.