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Finding the Fourth Proportional to 4,463.91, 6,696.46 and 1,652.37

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Solution

The fourth proportional to 4,463.91, 6,696.46 and 1,652.37 is: 2,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.91 : 6,696.46 = 1,652.37 : x
  2. Step 2: Convert to fraction form
    4,463.91/6,696.46 = 1,652.37/x
  3. Step 3: Cross multiply
    4,463.91x = 6,696.46 × 1,652.37
  4. Step 4: Simplify right side
    4,463.91x = 11,065,029.61
  5. Step 5: Solve for x
    x = 11,065,029.61/4,463.91
  6. Step 6: Final answer
    x = 2,478.78

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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.