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Finding the Fourth Proportional to 1,723.85, 2,381.70 and 1,202.21

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Solution

The fourth proportional to 1,723.85, 2,381.70 and 1,202.21 is: 1,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.85 : 2,381.70 = 1,202.21 : x
  2. Step 2: Convert to fraction form
    1,723.85/2,381.70 = 1,202.21/x
  3. Step 3: Cross multiply
    1,723.85x = 2,381.70 × 1,202.21
  4. Step 4: Simplify right side
    1,723.85x = 2,863,291.65
  5. Step 5: Solve for x
    x = 2,863,291.65/1,723.85
  6. Step 6: Final answer
    x = 1,660.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.