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Finding the Fourth Proportional to 2,933.69, 4,400.54 and 2,194.07

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Solution

The fourth proportional to 2,933.69, 4,400.54 and 2,194.07 is: 3,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.69 : 4,400.54 = 2,194.07 : x
  2. Step 2: Convert to fraction form
    2,933.69/4,400.54 = 2,194.07/x
  3. Step 3: Cross multiply
    2,933.69x = 4,400.54 × 2,194.07
  4. Step 4: Simplify right side
    2,933.69x = 9,655,081.83
  5. Step 5: Solve for x
    x = 9,655,081.83/2,933.69
  6. Step 6: Final answer
    x = 3,291.11

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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.