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Finding the Fourth Proportional to 3,046, 4,568.46 and 854.92

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Solution

The fourth proportional to 3,046, 4,568.46 and 854.92 is: 1,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,568.46 = 854.92 : x
  2. Step 2: Convert to fraction form
    3,046/4,568.46 = 854.92/x
  3. Step 3: Cross multiply
    3,046x = 4,568.46 × 854.92
  4. Step 4: Simplify right side
    3,046x = 3,905,667.82
  5. Step 5: Solve for x
    x = 3,905,667.82/3,046
  6. Step 6: Final answer
    x = 1,282.23

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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.