Home / 2,049.36-2,827.92-1,165.08

Finding the Fourth Proportional to 2,049.36, 2,827.92 and 1,165.08

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Solution

The fourth proportional to 2,049.36, 2,827.92 and 1,165.08 is: 1,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.36 : 2,827.92 = 1,165.08 : x
  2. Step 2: Convert to fraction form
    2,049.36/2,827.92 = 1,165.08/x
  3. Step 3: Cross multiply
    2,049.36x = 2,827.92 × 1,165.08
  4. Step 4: Simplify right side
    2,049.36x = 3,294,753.03
  5. Step 5: Solve for x
    x = 3,294,753.03/2,049.36
  6. Step 6: Final answer
    x = 1,607.70

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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.