Home / 2,842.06-3,922.24-1,583.12

Finding the Fourth Proportional to 2,842.06, 3,922.24 and 1,583.12

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Solution

The fourth proportional to 2,842.06, 3,922.24 and 1,583.12 is: 2,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.06 : 3,922.24 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    2,842.06/3,922.24 = 1,583.12/x
  3. Step 3: Cross multiply
    2,842.06x = 3,922.24 × 1,583.12
  4. Step 4: Simplify right side
    2,842.06x = 6,209,376.59
  5. Step 5: Solve for x
    x = 6,209,376.59/2,842.06
  6. Step 6: Final answer
    x = 2,184.82

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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.