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Finding the Fourth Proportional to 1,708.61, 2,357.82 and 952.37

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Solution

The fourth proportional to 1,708.61, 2,357.82 and 952.37 is: 1,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.61 : 2,357.82 = 952.37 : x
  2. Step 2: Convert to fraction form
    1,708.61/2,357.82 = 952.37/x
  3. Step 3: Cross multiply
    1,708.61x = 2,357.82 × 952.37
  4. Step 4: Simplify right side
    1,708.61x = 2,245,517.03
  5. Step 5: Solve for x
    x = 2,245,517.03/1,708.61
  6. Step 6: Final answer
    x = 1,314.24

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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.