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Finding the Fourth Proportional to 2,354.86, 3,530.26 and 967.33

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Solution

The fourth proportional to 2,354.86, 3,530.26 and 967.33 is: 1,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.86 : 3,530.26 = 967.33 : x
  2. Step 2: Convert to fraction form
    2,354.86/3,530.26 = 967.33/x
  3. Step 3: Cross multiply
    2,354.86x = 3,530.26 × 967.33
  4. Step 4: Simplify right side
    2,354.86x = 3,414,926.41
  5. Step 5: Solve for x
    x = 3,414,926.41/2,354.86
  6. Step 6: Final answer
    x = 1,450.16

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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.