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Finding the Fourth Proportional to 2,935.14, 4,402.04 and 854.69

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Solution

The fourth proportional to 2,935.14, 4,402.04 and 854.69 is: 1,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.14 : 4,402.04 = 854.69 : x
  2. Step 2: Convert to fraction form
    2,935.14/4,402.04 = 854.69/x
  3. Step 3: Cross multiply
    2,935.14x = 4,402.04 × 854.69
  4. Step 4: Simplify right side
    2,935.14x = 3,762,379.57
  5. Step 5: Solve for x
    x = 3,762,379.57/2,935.14
  6. Step 6: Final answer
    x = 1,281.84

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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.