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Finding the Fourth Proportional to 4,764.10, 7,147.20 and 1,601.43

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Solution

The fourth proportional to 4,764.10, 7,147.20 and 1,601.43 is: 2,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.10 : 7,147.20 = 1,601.43 : x
  2. Step 2: Convert to fraction form
    4,764.10/7,147.20 = 1,601.43/x
  3. Step 3: Cross multiply
    4,764.10x = 7,147.20 × 1,601.43
  4. Step 4: Simplify right side
    4,764.10x = 11,445,740.50
  5. Step 5: Solve for x
    x = 11,445,740.50/4,764.10
  6. Step 6: Final answer
    x = 2,402.50

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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.