Home / 2,002.12-2,762.85-1,162.78

Finding the Fourth Proportional to 2,002.12, 2,762.85 and 1,162.78

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Solution

The fourth proportional to 2,002.12, 2,762.85 and 1,162.78 is: 1,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.12 : 2,762.85 = 1,162.78 : x
  2. Step 2: Convert to fraction form
    2,002.12/2,762.85 = 1,162.78/x
  3. Step 3: Cross multiply
    2,002.12x = 2,762.85 × 1,162.78
  4. Step 4: Simplify right side
    2,002.12x = 3,212,586.72
  5. Step 5: Solve for x
    x = 3,212,586.72/2,002.12
  6. Step 6: Final answer
    x = 1,604.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.