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Finding the Fourth Proportional to 1,662.02, 2,502.09 and 1,436.03

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Solution

The fourth proportional to 1,662.02, 2,502.09 and 1,436.03 is: 2,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.02 : 2,502.09 = 1,436.03 : x
  2. Step 2: Convert to fraction form
    1,662.02/2,502.09 = 1,436.03/x
  3. Step 3: Cross multiply
    1,662.02x = 2,502.09 × 1,436.03
  4. Step 4: Simplify right side
    1,662.02x = 3,593,073.18
  5. Step 5: Solve for x
    x = 3,593,073.18/1,662.02
  6. Step 6: Final answer
    x = 2,161.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.