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Finding the Fourth Proportional to 1,602.54, 2,403.81 and 677.86

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Solution

The fourth proportional to 1,602.54, 2,403.81 and 677.86 is: 1,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.54 : 2,403.81 = 677.86 : x
  2. Step 2: Convert to fraction form
    1,602.54/2,403.81 = 677.86/x
  3. Step 3: Cross multiply
    1,602.54x = 2,403.81 × 677.86
  4. Step 4: Simplify right side
    1,602.54x = 1,629,431.24
  5. Step 5: Solve for x
    x = 1,629,431.24/1,602.54
  6. Step 6: Final answer
    x = 1,016.78

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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.