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Finding the Fourth Proportional to 1,708.83, 2,357.91 and 962.62

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Solution

The fourth proportional to 1,708.83, 2,357.91 and 962.62 is: 1,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.83 : 2,357.91 = 962.62 : x
  2. Step 2: Convert to fraction form
    1,708.83/2,357.91 = 962.62/x
  3. Step 3: Cross multiply
    1,708.83x = 2,357.91 × 962.62
  4. Step 4: Simplify right side
    1,708.83x = 2,269,765.43
  5. Step 5: Solve for x
    x = 2,269,765.43/1,708.83
  6. Step 6: Final answer
    x = 1,328.26

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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.