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Finding the Fourth Proportional to 2,758.61, 3,806.86 and 1,563.82

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Solution

The fourth proportional to 2,758.61, 3,806.86 and 1,563.82 is: 2,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.61 : 3,806.86 = 1,563.82 : x
  2. Step 2: Convert to fraction form
    2,758.61/3,806.86 = 1,563.82/x
  3. Step 3: Cross multiply
    2,758.61x = 3,806.86 × 1,563.82
  4. Step 4: Simplify right side
    2,758.61x = 5,953,233.59
  5. Step 5: Solve for x
    x = 5,953,233.59/2,758.61
  6. Step 6: Final answer
    x = 2,158.06

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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.