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Finding the Fourth Proportional to 1,722.70, 2,584.34 and 536.46

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Solution

The fourth proportional to 1,722.70, 2,584.34 and 536.46 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.70 : 2,584.34 = 536.46 : x
  2. Step 2: Convert to fraction form
    1,722.70/2,584.34 = 536.46/x
  3. Step 3: Cross multiply
    1,722.70x = 2,584.34 × 536.46
  4. Step 4: Simplify right side
    1,722.70x = 1,386,395.04
  5. Step 5: Solve for x
    x = 1,386,395.04/1,722.70
  6. Step 6: Final answer
    x = 804.78

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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.