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Finding the Fourth Proportional to 1,723.21, 2,584.98 and 553.23

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Solution

The fourth proportional to 1,723.21, 2,584.98 and 553.23 is: 829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.21 : 2,584.98 = 553.23 : x
  2. Step 2: Convert to fraction form
    1,723.21/2,584.98 = 553.23/x
  3. Step 3: Cross multiply
    1,723.21x = 2,584.98 × 553.23
  4. Step 4: Simplify right side
    1,723.21x = 1,430,088.49
  5. Step 5: Solve for x
    x = 1,430,088.49/1,723.21
  6. Step 6: Final answer
    x = 829.90

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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.