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Finding the Fourth Proportional to 2,713.94, 4,071.38 and 864.57

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Solution

The fourth proportional to 2,713.94, 4,071.38 and 864.57 is: 1,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.94 : 4,071.38 = 864.57 : x
  2. Step 2: Convert to fraction form
    2,713.94/4,071.38 = 864.57/x
  3. Step 3: Cross multiply
    2,713.94x = 4,071.38 × 864.57
  4. Step 4: Simplify right side
    2,713.94x = 3,519,988.68
  5. Step 5: Solve for x
    x = 3,519,988.68/2,713.94
  6. Step 6: Final answer
    x = 1,297.01

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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.