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Finding the Fourth Proportional to 2,583.16, 3,874.16 and 734.23

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Solution

The fourth proportional to 2,583.16, 3,874.16 and 734.23 is: 1,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.16 : 3,874.16 = 734.23 : x
  2. Step 2: Convert to fraction form
    2,583.16/3,874.16 = 734.23/x
  3. Step 3: Cross multiply
    2,583.16x = 3,874.16 × 734.23
  4. Step 4: Simplify right side
    2,583.16x = 2,844,520.83
  5. Step 5: Solve for x
    x = 2,844,520.83/2,583.16
  6. Step 6: Final answer
    x = 1,101.18

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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.