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Finding the Fourth Proportional to 2,777.60, 3,834.41 and 1,643.46

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Solution

The fourth proportional to 2,777.60, 3,834.41 and 1,643.46 is: 2,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.60 : 3,834.41 = 1,643.46 : x
  2. Step 2: Convert to fraction form
    2,777.60/3,834.41 = 1,643.46/x
  3. Step 3: Cross multiply
    2,777.60x = 3,834.41 × 1,643.46
  4. Step 4: Simplify right side
    2,777.60x = 6,301,703.57
  5. Step 5: Solve for x
    x = 6,301,703.57/2,777.60
  6. Step 6: Final answer
    x = 2,268.76

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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.