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Finding the Fourth Proportional to 1,722.57, 2,584.24 and 552.65

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Solution

The fourth proportional to 1,722.57, 2,584.24 and 552.65 is: 829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.57 : 2,584.24 = 552.65 : x
  2. Step 2: Convert to fraction form
    1,722.57/2,584.24 = 552.65/x
  3. Step 3: Cross multiply
    1,722.57x = 2,584.24 × 552.65
  4. Step 4: Simplify right side
    1,722.57x = 1,428,180.24
  5. Step 5: Solve for x
    x = 1,428,180.24/1,722.57
  6. Step 6: Final answer
    x = 829.10

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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.