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Finding the Fourth Proportional to 2,758.80, 4,134.51 and 2,465.94

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Solution

The fourth proportional to 2,758.80, 4,134.51 and 2,465.94 is: 3,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 4,134.51 = 2,465.94 : x
  2. Step 2: Convert to fraction form
    2,758.80/4,134.51 = 2,465.94/x
  3. Step 3: Cross multiply
    2,758.80x = 4,134.51 × 2,465.94
  4. Step 4: Simplify right side
    2,758.80x = 10,195,453.59
  5. Step 5: Solve for x
    x = 10,195,453.59/2,758.80
  6. Step 6: Final answer
    x = 3,695.61

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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.