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Finding the Fourth Proportional to 2,583.72, 3,876.14 and 852.28

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Solution

The fourth proportional to 2,583.72, 3,876.14 and 852.28 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.72 : 3,876.14 = 852.28 : x
  2. Step 2: Convert to fraction form
    2,583.72/3,876.14 = 852.28/x
  3. Step 3: Cross multiply
    2,583.72x = 3,876.14 × 852.28
  4. Step 4: Simplify right side
    2,583.72x = 3,303,556.60
  5. Step 5: Solve for x
    x = 3,303,556.60/2,583.72
  6. Step 6: Final answer
    x = 1,278.60

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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.