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Finding the Fourth Proportional to 2,518.43, 3,777.44 and 852.53

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Solution

The fourth proportional to 2,518.43, 3,777.44 and 852.53 is: 1,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.43 : 3,777.44 = 852.53 : x
  2. Step 2: Convert to fraction form
    2,518.43/3,777.44 = 852.53/x
  3. Step 3: Cross multiply
    2,518.43x = 3,777.44 × 852.53
  4. Step 4: Simplify right side
    2,518.43x = 3,220,357.77
  5. Step 5: Solve for x
    x = 3,220,357.77/2,518.43
  6. Step 6: Final answer
    x = 1,278.72

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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.