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Finding the Fourth Proportional to 2,713.32, 4,066.83 and 1,788.66

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Solution

The fourth proportional to 2,713.32, 4,066.83 and 1,788.66 is: 2,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.32 : 4,066.83 = 1,788.66 : x
  2. Step 2: Convert to fraction form
    2,713.32/4,066.83 = 1,788.66/x
  3. Step 3: Cross multiply
    2,713.32x = 4,066.83 × 1,788.66
  4. Step 4: Simplify right side
    2,713.32x = 7,274,176.15
  5. Step 5: Solve for x
    x = 7,274,176.15/2,713.32
  6. Step 6: Final answer
    x = 2,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.