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Finding the Fourth Proportional to 1,723.55, 2,584.92 and 490.93

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Solution

The fourth proportional to 1,723.55, 2,584.92 and 490.93 is: 736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.55 : 2,584.92 = 490.93 : x
  2. Step 2: Convert to fraction form
    1,723.55/2,584.92 = 490.93/x
  3. Step 3: Cross multiply
    1,723.55x = 2,584.92 × 490.93
  4. Step 4: Simplify right side
    1,723.55x = 1,269,010.15
  5. Step 5: Solve for x
    x = 1,269,010.15/1,723.55
  6. Step 6: Final answer
    x = 736.28

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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.