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Finding the Fourth Proportional to 2,356.36, 3,534.67 and 712.87

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Solution

The fourth proportional to 2,356.36, 3,534.67 and 712.87 is: 1,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.36 : 3,534.67 = 712.87 : x
  2. Step 2: Convert to fraction form
    2,356.36/3,534.67 = 712.87/x
  3. Step 3: Cross multiply
    2,356.36x = 3,534.67 × 712.87
  4. Step 4: Simplify right side
    2,356.36x = 2,519,738.97
  5. Step 5: Solve for x
    x = 2,519,738.97/2,356.36
  6. Step 6: Final answer
    x = 1,069.34

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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.