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Finding the Fourth Proportional to 4,291.70, 6,436.47 and 1,694.66

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Solution

The fourth proportional to 4,291.70, 6,436.47 and 1,694.66 is: 2,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.70 : 6,436.47 = 1,694.66 : x
  2. Step 2: Convert to fraction form
    4,291.70/6,436.47 = 1,694.66/x
  3. Step 3: Cross multiply
    4,291.70x = 6,436.47 × 1,694.66
  4. Step 4: Simplify right side
    4,291.70x = 10,907,628.25
  5. Step 5: Solve for x
    x = 10,907,628.25/4,291.70
  6. Step 6: Final answer
    x = 2,541.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.