Home / 2,784.24-3,841.52-1,664.68

Finding the Fourth Proportional to 2,784.24, 3,841.52 and 1,664.68

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Solution

The fourth proportional to 2,784.24, 3,841.52 and 1,664.68 is: 2,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.24 : 3,841.52 = 1,664.68 : x
  2. Step 2: Convert to fraction form
    2,784.24/3,841.52 = 1,664.68/x
  3. Step 3: Cross multiply
    2,784.24x = 3,841.52 × 1,664.68
  4. Step 4: Simplify right side
    2,784.24x = 6,394,901.51
  5. Step 5: Solve for x
    x = 6,394,901.51/2,784.24
  6. Step 6: Final answer
    x = 2,296.82

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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.