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Finding the Fourth Proportional to 2,583.23, 3,874.78 and 734.34

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Solution

The fourth proportional to 2,583.23, 3,874.78 and 734.34 is: 1,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.23 : 3,874.78 = 734.34 : x
  2. Step 2: Convert to fraction form
    2,583.23/3,874.78 = 734.34/x
  3. Step 3: Cross multiply
    2,583.23x = 3,874.78 × 734.34
  4. Step 4: Simplify right side
    2,583.23x = 2,845,405.95
  5. Step 5: Solve for x
    x = 2,845,405.95/2,583.23
  6. Step 6: Final answer
    x = 1,101.49

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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.