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Finding the Fourth Proportional to 1,722.12, 2,583.60 and 626.40

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Solution

The fourth proportional to 1,722.12, 2,583.60 and 626.40 is: 939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.12 : 2,583.60 = 626.40 : x
  2. Step 2: Convert to fraction form
    1,722.12/2,583.60 = 626.40/x
  3. Step 3: Cross multiply
    1,722.12x = 2,583.60 × 626.40
  4. Step 4: Simplify right side
    1,722.12x = 1,618,367.04
  5. Step 5: Solve for x
    x = 1,618,367.04/1,722.12
  6. Step 6: Final answer
    x = 939.75

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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.