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Finding the Fourth Proportional to 3,165.66, 4,749.12 and 1,523.34

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Solution

The fourth proportional to 3,165.66, 4,749.12 and 1,523.34 is: 2,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.66 : 4,749.12 = 1,523.34 : x
  2. Step 2: Convert to fraction form
    3,165.66/4,749.12 = 1,523.34/x
  3. Step 3: Cross multiply
    3,165.66x = 4,749.12 × 1,523.34
  4. Step 4: Simplify right side
    3,165.66x = 7,234,524.46
  5. Step 5: Solve for x
    x = 7,234,524.46/3,165.66
  6. Step 6: Final answer
    x = 2,285.31

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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.