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Finding the Fourth Proportional to 2,091.89, 2,885.13 and 1,778.19

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Solution

The fourth proportional to 2,091.89, 2,885.13 and 1,778.19 is: 2,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.89 : 2,885.13 = 1,778.19 : x
  2. Step 2: Convert to fraction form
    2,091.89/2,885.13 = 1,778.19/x
  3. Step 3: Cross multiply
    2,091.89x = 2,885.13 × 1,778.19
  4. Step 4: Simplify right side
    2,091.89x = 5,130,309.31
  5. Step 5: Solve for x
    x = 5,130,309.31/2,091.89
  6. Step 6: Final answer
    x = 2,452.48

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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.