Home / 1,546.82-2,135.46-1,023.76

Finding the Fourth Proportional to 1,546.82, 2,135.46 and 1,023.76

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Solution

The fourth proportional to 1,546.82, 2,135.46 and 1,023.76 is: 1,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.82 : 2,135.46 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    1,546.82/2,135.46 = 1,023.76/x
  3. Step 3: Cross multiply
    1,546.82x = 2,135.46 × 1,023.76
  4. Step 4: Simplify right side
    1,546.82x = 2,186,198.53
  5. Step 5: Solve for x
    x = 2,186,198.53/1,546.82
  6. Step 6: Final answer
    x = 1,413.35

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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.