Home / 2,049.53-2,828.18-1,165.14

Finding the Fourth Proportional to 2,049.53, 2,828.18 and 1,165.14

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Solution

The fourth proportional to 2,049.53, 2,828.18 and 1,165.14 is: 1,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.53 : 2,828.18 = 1,165.14 : x
  2. Step 2: Convert to fraction form
    2,049.53/2,828.18 = 1,165.14/x
  3. Step 3: Cross multiply
    2,049.53x = 2,828.18 × 1,165.14
  4. Step 4: Simplify right side
    2,049.53x = 3,295,228.56
  5. Step 5: Solve for x
    x = 3,295,228.56/2,049.53
  6. Step 6: Final answer
    x = 1,607.80

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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.