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Finding the Fourth Proportional to 2,372.77, 3,277.33 and 1,777.92

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Solution

The fourth proportional to 2,372.77, 3,277.33 and 1,777.92 is: 2,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.77 : 3,277.33 = 1,777.92 : x
  2. Step 2: Convert to fraction form
    2,372.77/3,277.33 = 1,777.92/x
  3. Step 3: Cross multiply
    2,372.77x = 3,277.33 × 1,777.92
  4. Step 4: Simplify right side
    2,372.77x = 5,826,813.82
  5. Step 5: Solve for x
    x = 5,826,813.82/2,372.77
  6. Step 6: Final answer
    x = 2,455.70

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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.