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Finding the Fourth Proportional to 4,512.84, 6,766.02 and 2,046.42

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Solution

The fourth proportional to 4,512.84, 6,766.02 and 2,046.42 is: 3,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.84 : 6,766.02 = 2,046.42 : x
  2. Step 2: Convert to fraction form
    4,512.84/6,766.02 = 2,046.42/x
  3. Step 3: Cross multiply
    4,512.84x = 6,766.02 × 2,046.42
  4. Step 4: Simplify right side
    4,512.84x = 13,846,118.65
  5. Step 5: Solve for x
    x = 13,846,118.65/4,512.84
  6. Step 6: Final answer
    x = 3,068.16

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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.