Home / 2,291.13-3,434.64-829.95

Finding the Fourth Proportional to 2,291.13, 3,434.64 and 829.95

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Solution

The fourth proportional to 2,291.13, 3,434.64 and 829.95 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.13 : 3,434.64 = 829.95 : x
  2. Step 2: Convert to fraction form
    2,291.13/3,434.64 = 829.95/x
  3. Step 3: Cross multiply
    2,291.13x = 3,434.64 × 829.95
  4. Step 4: Simplify right side
    2,291.13x = 2,850,562.29
  5. Step 5: Solve for x
    x = 2,850,562.29/2,291.13
  6. Step 6: Final answer
    x = 1,244.18

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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.