Home / 2,046-2,823.24-1,161.78

Finding the Fourth Proportional to 2,046, 2,823.24 and 1,161.78

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Solution

The fourth proportional to 2,046, 2,823.24 and 1,161.78 is: 1,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 2,823.24 = 1,161.78 : x
  2. Step 2: Convert to fraction form
    2,046/2,823.24 = 1,161.78/x
  3. Step 3: Cross multiply
    2,046x = 2,823.24 × 1,161.78
  4. Step 4: Simplify right side
    2,046x = 3,279,983.77
  5. Step 5: Solve for x
    x = 3,279,983.77/2,046
  6. Step 6: Final answer
    x = 1,603.12

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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.