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Finding the Fourth Proportional to 2,952.80, 4,430.80 and 1,221.60

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Solution

The fourth proportional to 2,952.80, 4,430.80 and 1,221.60 is: 1,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.80 : 4,430.80 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    2,952.80/4,430.80 = 1,221.60/x
  3. Step 3: Cross multiply
    2,952.80x = 4,430.80 × 1,221.60
  4. Step 4: Simplify right side
    2,952.80x = 5,412,665.28
  5. Step 5: Solve for x
    x = 5,412,665.28/2,952.80
  6. Step 6: Final answer
    x = 1,833.06

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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.