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Finding the Fourth Proportional to 2,041.89, 3,062.13 and 808.98

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Solution

The fourth proportional to 2,041.89, 3,062.13 and 808.98 is: 1,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.89 : 3,062.13 = 808.98 : x
  2. Step 2: Convert to fraction form
    2,041.89/3,062.13 = 808.98/x
  3. Step 3: Cross multiply
    2,041.89x = 3,062.13 × 808.98
  4. Step 4: Simplify right side
    2,041.89x = 2,477,201.93
  5. Step 5: Solve for x
    x = 2,477,201.93/2,041.89
  6. Step 6: Final answer
    x = 1,213.19

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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.