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Finding the Fourth Proportional to 2,313.80, 3,192.06 and 1,428.92

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Solution

The fourth proportional to 2,313.80, 3,192.06 and 1,428.92 is: 1,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.80 : 3,192.06 = 1,428.92 : x
  2. Step 2: Convert to fraction form
    2,313.80/3,192.06 = 1,428.92/x
  3. Step 3: Cross multiply
    2,313.80x = 3,192.06 × 1,428.92
  4. Step 4: Simplify right side
    2,313.80x = 4,561,198.38
  5. Step 5: Solve for x
    x = 4,561,198.38/2,313.80
  6. Step 6: Final answer
    x = 1,971.30

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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.