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Finding the Fourth Proportional to 2,767.30, 4,152.30 and 2,108.95

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Solution

The fourth proportional to 2,767.30, 4,152.30 and 2,108.95 is: 3,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.30 : 4,152.30 = 2,108.95 : x
  2. Step 2: Convert to fraction form
    2,767.30/4,152.30 = 2,108.95/x
  3. Step 3: Cross multiply
    2,767.30x = 4,152.30 × 2,108.95
  4. Step 4: Simplify right side
    2,767.30x = 8,756,993.09
  5. Step 5: Solve for x
    x = 8,756,993.09/2,767.30
  6. Step 6: Final answer
    x = 3,164.45

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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.