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Finding the Fourth Proportional to 1,723.11, 2,585.32 and 628.22

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Solution

The fourth proportional to 1,723.11, 2,585.32 and 628.22 is: 942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.11 : 2,585.32 = 628.22 : x
  2. Step 2: Convert to fraction form
    1,723.11/2,585.32 = 628.22/x
  3. Step 3: Cross multiply
    1,723.11x = 2,585.32 × 628.22
  4. Step 4: Simplify right side
    1,723.11x = 1,624,154.62
  5. Step 5: Solve for x
    x = 1,624,154.62/1,723.11
  6. Step 6: Final answer
    x = 942.57

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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.