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Finding the Fourth Proportional to 4,466.38, 6,700 and 1,655.96

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Solution

The fourth proportional to 4,466.38, 6,700 and 1,655.96 is: 2,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.38 : 6,700 = 1,655.96 : x
  2. Step 2: Convert to fraction form
    4,466.38/6,700 = 1,655.96/x
  3. Step 3: Cross multiply
    4,466.38x = 6,700 × 1,655.96
  4. Step 4: Simplify right side
    4,466.38x = 11,094,898.50
  5. Step 5: Solve for x
    x = 11,094,898.50/4,466.38
  6. Step 6: Final answer
    x = 2,484.09

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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.