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Finding the Fourth Proportional to 1,713.36, 2,364.56 and 1,292.97

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Solution

The fourth proportional to 1,713.36, 2,364.56 and 1,292.97 is: 1,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.36 : 2,364.56 = 1,292.97 : x
  2. Step 2: Convert to fraction form
    1,713.36/2,364.56 = 1,292.97/x
  3. Step 3: Cross multiply
    1,713.36x = 2,364.56 × 1,292.97
  4. Step 4: Simplify right side
    1,713.36x = 3,057,305.14
  5. Step 5: Solve for x
    x = 3,057,305.14/1,713.36
  6. Step 6: Final answer
    x = 1,784.39

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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.