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Finding the Fourth Proportional to 1,600.36, 2,401.56 and 626.44

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Solution

The fourth proportional to 1,600.36, 2,401.56 and 626.44 is: 940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.36 : 2,401.56 = 626.44 : x
  2. Step 2: Convert to fraction form
    1,600.36/2,401.56 = 626.44/x
  3. Step 3: Cross multiply
    1,600.36x = 2,401.56 × 626.44
  4. Step 4: Simplify right side
    1,600.36x = 1,504,424.89
  5. Step 5: Solve for x
    x = 1,504,424.89/1,600.36
  6. Step 6: Final answer
    x = 940.05

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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.