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Finding the Fourth Proportional to 2,162.64, 2,984.85 and 1,723.98

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Solution

The fourth proportional to 2,162.64, 2,984.85 and 1,723.98 is: 2,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.64 : 2,984.85 = 1,723.98 : x
  2. Step 2: Convert to fraction form
    2,162.64/2,984.85 = 1,723.98/x
  3. Step 3: Cross multiply
    2,162.64x = 2,984.85 × 1,723.98
  4. Step 4: Simplify right side
    2,162.64x = 5,145,821.70
  5. Step 5: Solve for x
    x = 5,145,821.70/2,162.64
  6. Step 6: Final answer
    x = 2,379.42

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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.