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Finding the Fourth Proportional to 2,934.64, 4,402.73 and 854.60

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Solution

The fourth proportional to 2,934.64, 4,402.73 and 854.60 is: 1,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.64 : 4,402.73 = 854.60 : x
  2. Step 2: Convert to fraction form
    2,934.64/4,402.73 = 854.60/x
  3. Step 3: Cross multiply
    2,934.64x = 4,402.73 × 854.60
  4. Step 4: Simplify right side
    2,934.64x = 3,762,575.54
  5. Step 5: Solve for x
    x = 3,762,575.54/2,934.64
  6. Step 6: Final answer
    x = 1,282.12

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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.