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Finding the Fourth Proportional to 3,103.95, 4,283.08 and 1,777.57

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Solution

The fourth proportional to 3,103.95, 4,283.08 and 1,777.57 is: 2,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.95 : 4,283.08 = 1,777.57 : x
  2. Step 2: Convert to fraction form
    3,103.95/4,283.08 = 1,777.57/x
  3. Step 3: Cross multiply
    3,103.95x = 4,283.08 × 1,777.57
  4. Step 4: Simplify right side
    3,103.95x = 7,613,474.52
  5. Step 5: Solve for x
    x = 7,613,474.52/3,103.95
  6. Step 6: Final answer
    x = 2,452.83

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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.