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Finding the Fourth Proportional to 4,269.34, 6,400.22 and 1,670.46

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Solution

The fourth proportional to 4,269.34, 6,400.22 and 1,670.46 is: 2,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.34 : 6,400.22 = 1,670.46 : x
  2. Step 2: Convert to fraction form
    4,269.34/6,400.22 = 1,670.46/x
  3. Step 3: Cross multiply
    4,269.34x = 6,400.22 × 1,670.46
  4. Step 4: Simplify right side
    4,269.34x = 10,691,311.50
  5. Step 5: Solve for x
    x = 10,691,311.50/4,269.34
  6. Step 6: Final answer
    x = 2,504.21

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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.