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Finding the Fourth Proportional to 2,277.88, 3,410.39 and 1,206.88

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Solution

The fourth proportional to 2,277.88, 3,410.39 and 1,206.88 is: 1,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.88 : 3,410.39 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    2,277.88/3,410.39 = 1,206.88/x
  3. Step 3: Cross multiply
    2,277.88x = 3,410.39 × 1,206.88
  4. Step 4: Simplify right side
    2,277.88x = 4,115,931.48
  5. Step 5: Solve for x
    x = 4,115,931.48/2,277.88
  6. Step 6: Final answer
    x = 1,806.91

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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.