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Finding the Fourth Proportional to 2,272.22, 3,407.74 and 628.34

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Solution

The fourth proportional to 2,272.22, 3,407.74 and 628.34 is: 942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.22 : 3,407.74 = 628.34 : x
  2. Step 2: Convert to fraction form
    2,272.22/3,407.74 = 628.34/x
  3. Step 3: Cross multiply
    2,272.22x = 3,407.74 × 628.34
  4. Step 4: Simplify right side
    2,272.22x = 2,141,219.35
  5. Step 5: Solve for x
    x = 2,141,219.35/2,272.22
  6. Step 6: Final answer
    x = 942.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.