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Finding the Fourth Proportional to 2,750.95, 3,797.62 and 1,743.16

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Solution

The fourth proportional to 2,750.95, 3,797.62 and 1,743.16 is: 2,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.95 : 3,797.62 = 1,743.16 : x
  2. Step 2: Convert to fraction form
    2,750.95/3,797.62 = 1,743.16/x
  3. Step 3: Cross multiply
    2,750.95x = 3,797.62 × 1,743.16
  4. Step 4: Simplify right side
    2,750.95x = 6,619,873.13
  5. Step 5: Solve for x
    x = 6,619,873.13/2,750.95
  6. Step 6: Final answer
    x = 2,406.39

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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.