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Finding the Fourth Proportional to 2,268.68, 3,403.17 and 602.78

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Solution

The fourth proportional to 2,268.68, 3,403.17 and 602.78 is: 904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.68 : 3,403.17 = 602.78 : x
  2. Step 2: Convert to fraction form
    2,268.68/3,403.17 = 602.78/x
  3. Step 3: Cross multiply
    2,268.68x = 3,403.17 × 602.78
  4. Step 4: Simplify right side
    2,268.68x = 2,051,357.43
  5. Step 5: Solve for x
    x = 2,051,357.43/2,268.68
  6. Step 6: Final answer
    x = 904.21

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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.