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Finding the Fourth Proportional to 1,401.57, 2,092.16 and 1,286.01

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Solution

The fourth proportional to 1,401.57, 2,092.16 and 1,286.01 is: 1,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.57 : 2,092.16 = 1,286.01 : x
  2. Step 2: Convert to fraction form
    1,401.57/2,092.16 = 1,286.01/x
  3. Step 3: Cross multiply
    1,401.57x = 2,092.16 × 1,286.01
  4. Step 4: Simplify right side
    1,401.57x = 2,690,541.90
  5. Step 5: Solve for x
    x = 2,690,541.90/1,401.57
  6. Step 6: Final answer
    x = 1,919.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.