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Finding the Fourth Proportional to 1,713.20, 2,364.21 and 927.24

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Solution

The fourth proportional to 1,713.20, 2,364.21 and 927.24 is: 1,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.20 : 2,364.21 = 927.24 : x
  2. Step 2: Convert to fraction form
    1,713.20/2,364.21 = 927.24/x
  3. Step 3: Cross multiply
    1,713.20x = 2,364.21 × 927.24
  4. Step 4: Simplify right side
    1,713.20x = 2,192,187.76
  5. Step 5: Solve for x
    x = 2,192,187.76/1,713.20
  6. Step 6: Final answer
    x = 1,279.59

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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.