Home / 2,146.30-3,218.93-829.62

Finding the Fourth Proportional to 2,146.30, 3,218.93 and 829.62

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Solution

The fourth proportional to 2,146.30, 3,218.93 and 829.62 is: 1,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.30 : 3,218.93 = 829.62 : x
  2. Step 2: Convert to fraction form
    2,146.30/3,218.93 = 829.62/x
  3. Step 3: Cross multiply
    2,146.30x = 3,218.93 × 829.62
  4. Step 4: Simplify right side
    2,146.30x = 2,670,488.71
  5. Step 5: Solve for x
    x = 2,670,488.71/2,146.30
  6. Step 6: Final answer
    x = 1,244.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.