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Finding the Fourth Proportional to 2,583.08, 3,874.41 and 828.26

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Solution

The fourth proportional to 2,583.08, 3,874.41 and 828.26 is: 1,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.08 : 3,874.41 = 828.26 : x
  2. Step 2: Convert to fraction form
    2,583.08/3,874.41 = 828.26/x
  3. Step 3: Cross multiply
    2,583.08x = 3,874.41 × 828.26
  4. Step 4: Simplify right side
    2,583.08x = 3,208,999.45
  5. Step 5: Solve for x
    x = 3,208,999.45/2,583.08
  6. Step 6: Final answer
    x = 1,242.32

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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.