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Finding the Fourth Proportional to 2,782.14, 3,840.39 and 1,734.18

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Solution

The fourth proportional to 2,782.14, 3,840.39 and 1,734.18 is: 2,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.14 : 3,840.39 = 1,734.18 : x
  2. Step 2: Convert to fraction form
    2,782.14/3,840.39 = 1,734.18/x
  3. Step 3: Cross multiply
    2,782.14x = 3,840.39 × 1,734.18
  4. Step 4: Simplify right side
    2,782.14x = 6,659,927.53
  5. Step 5: Solve for x
    x = 6,659,927.53/2,782.14
  6. Step 6: Final answer
    x = 2,393.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.