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Finding the Fourth Proportional to 4,466.46, 6,700.50 and 2,000.82

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Solution

The fourth proportional to 4,466.46, 6,700.50 and 2,000.82 is: 3,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.46 : 6,700.50 = 2,000.82 : x
  2. Step 2: Convert to fraction form
    4,466.46/6,700.50 = 2,000.82/x
  3. Step 3: Cross multiply
    4,466.46x = 6,700.50 × 2,000.82
  4. Step 4: Simplify right side
    4,466.46x = 13,406,494.41
  5. Step 5: Solve for x
    x = 13,406,494.41/4,466.46
  6. Step 6: Final answer
    x = 3,001.59

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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.