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Finding the Fourth Proportional to 3,774.80, 5,662.17 and 1,466.30

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Solution

The fourth proportional to 3,774.80, 5,662.17 and 1,466.30 is: 2,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.80 : 5,662.17 = 1,466.30 : x
  2. Step 2: Convert to fraction form
    3,774.80/5,662.17 = 1,466.30/x
  3. Step 3: Cross multiply
    3,774.80x = 5,662.17 × 1,466.30
  4. Step 4: Simplify right side
    3,774.80x = 8,302,439.87
  5. Step 5: Solve for x
    x = 8,302,439.87/3,774.80
  6. Step 6: Final answer
    x = 2,199.44

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1.5x scale

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.