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Finding the Fourth Proportional to 1,723.49, 2,583.57 and 627.11

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Solution

The fourth proportional to 1,723.49, 2,583.57 and 627.11 is: 940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.49 : 2,583.57 = 627.11 : x
  2. Step 2: Convert to fraction form
    1,723.49/2,583.57 = 627.11/x
  3. Step 3: Cross multiply
    1,723.49x = 2,583.57 × 627.11
  4. Step 4: Simplify right side
    1,723.49x = 1,620,182.58
  5. Step 5: Solve for x
    x = 1,620,182.58/1,723.49
  6. Step 6: Final answer
    x = 940.06

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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.