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Finding the Fourth Proportional to 2,706.83, 3,736.13 and 1,764.95

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Solution

The fourth proportional to 2,706.83, 3,736.13 and 1,764.95 is: 2,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.83 : 3,736.13 = 1,764.95 : x
  2. Step 2: Convert to fraction form
    2,706.83/3,736.13 = 1,764.95/x
  3. Step 3: Cross multiply
    2,706.83x = 3,736.13 × 1,764.95
  4. Step 4: Simplify right side
    2,706.83x = 6,594,083.16
  5. Step 5: Solve for x
    x = 6,594,083.16/2,706.83
  6. Step 6: Final answer
    x = 2,436.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.