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Finding the Fourth Proportional to 2,355.01, 3,531.30 and 968.09

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Solution

The fourth proportional to 2,355.01, 3,531.30 and 968.09 is: 1,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.01 : 3,531.30 = 968.09 : x
  2. Step 2: Convert to fraction form
    2,355.01/3,531.30 = 968.09/x
  3. Step 3: Cross multiply
    2,355.01x = 3,531.30 × 968.09
  4. Step 4: Simplify right side
    2,355.01x = 3,418,594.93
  5. Step 5: Solve for x
    x = 3,418,594.93/2,355.01
  6. Step 6: Final answer
    x = 1,451.63

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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.