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Finding the Fourth Proportional to 3,111.38, 4,294.11 and 1,784.83

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Solution

The fourth proportional to 3,111.38, 4,294.11 and 1,784.83 is: 2,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.38 : 4,294.11 = 1,784.83 : x
  2. Step 2: Convert to fraction form
    3,111.38/4,294.11 = 1,784.83/x
  3. Step 3: Cross multiply
    3,111.38x = 4,294.11 × 1,784.83
  4. Step 4: Simplify right side
    3,111.38x = 7,664,256.35
  5. Step 5: Solve for x
    x = 7,664,256.35/3,111.38
  6. Step 6: Final answer
    x = 2,463.30

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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.