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Finding the Fourth Proportional to 2,268.68, 3,133.86 and 1,777.52

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Solution

The fourth proportional to 2,268.68, 3,133.86 and 1,777.52 is: 2,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.68 : 3,133.86 = 1,777.52 : x
  2. Step 2: Convert to fraction form
    2,268.68/3,133.86 = 1,777.52/x
  3. Step 3: Cross multiply
    2,268.68x = 3,133.86 × 1,777.52
  4. Step 4: Simplify right side
    2,268.68x = 5,570,498.83
  5. Step 5: Solve for x
    x = 5,570,498.83/2,268.68
  6. Step 6: Final answer
    x = 2,455.39

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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.