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Finding the Fourth Proportional to 1,952.86, 2,926.24 and 1,220.22

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Solution

The fourth proportional to 1,952.86, 2,926.24 and 1,220.22 is: 1,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.86 : 2,926.24 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    1,952.86/2,926.24 = 1,220.22/x
  3. Step 3: Cross multiply
    1,952.86x = 2,926.24 × 1,220.22
  4. Step 4: Simplify right side
    1,952.86x = 3,570,656.57
  5. Step 5: Solve for x
    x = 3,570,656.57/1,952.86
  6. Step 6: Final answer
    x = 1,828.42

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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.