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Finding the Fourth Proportional to 3,111.66, 4,294.35 and 1,785.42

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Solution

The fourth proportional to 3,111.66, 4,294.35 and 1,785.42 is: 2,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.66 : 4,294.35 = 1,785.42 : x
  2. Step 2: Convert to fraction form
    3,111.66/4,294.35 = 1,785.42/x
  3. Step 3: Cross multiply
    3,111.66x = 4,294.35 × 1,785.42
  4. Step 4: Simplify right side
    3,111.66x = 7,667,218.38
  5. Step 5: Solve for x
    x = 7,667,218.38/3,111.66
  6. Step 6: Final answer
    x = 2,464.03

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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.