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Finding the Fourth Proportional to 2,998.56, 4,140.24 and 1,821.22

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Solution

The fourth proportional to 2,998.56, 4,140.24 and 1,821.22 is: 2,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.56 : 4,140.24 = 1,821.22 : x
  2. Step 2: Convert to fraction form
    2,998.56/4,140.24 = 1,821.22/x
  3. Step 3: Cross multiply
    2,998.56x = 4,140.24 × 1,821.22
  4. Step 4: Simplify right side
    2,998.56x = 7,540,287.89
  5. Step 5: Solve for x
    x = 7,540,287.89/2,998.56
  6. Step 6: Final answer
    x = 2,514.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.