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Finding the Fourth Proportional to 2,272.10, 3,407.74 and 628.27

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Solution

The fourth proportional to 2,272.10, 3,407.74 and 628.27 is: 942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.10 : 3,407.74 = 628.27 : x
  2. Step 2: Convert to fraction form
    2,272.10/3,407.74 = 628.27/x
  3. Step 3: Cross multiply
    2,272.10x = 3,407.74 × 628.27
  4. Step 4: Simplify right side
    2,272.10x = 2,140,970.72
  5. Step 5: Solve for x
    x = 2,140,970.72/2,272.10
  6. Step 6: Final answer
    x = 942.29

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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.