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Finding the Fourth Proportional to 1,642.82, 2,465.25 and 668.92

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Solution

The fourth proportional to 1,642.82, 2,465.25 and 668.92 is: 1,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.82 : 2,465.25 = 668.92 : x
  2. Step 2: Convert to fraction form
    1,642.82/2,465.25 = 668.92/x
  3. Step 3: Cross multiply
    1,642.82x = 2,465.25 × 668.92
  4. Step 4: Simplify right side
    1,642.82x = 1,649,055.03
  5. Step 5: Solve for x
    x = 1,649,055.03/1,642.82
  6. Step 6: Final answer
    x = 1,003.80

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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.