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Finding the Fourth Proportional to 1,662.42, 2,490.70 and 1,563.66

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Solution

The fourth proportional to 1,662.42, 2,490.70 and 1,563.66 is: 2,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.42 : 2,490.70 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    1,662.42/2,490.70 = 1,563.66/x
  3. Step 3: Cross multiply
    1,662.42x = 2,490.70 × 1,563.66
  4. Step 4: Simplify right side
    1,662.42x = 3,894,606.98
  5. Step 5: Solve for x
    x = 3,894,606.98/1,662.42
  6. Step 6: Final answer
    x = 2,342.73

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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.