Home / 2,049.34-2,828.19-1,165.24

Finding the Fourth Proportional to 2,049.34, 2,828.19 and 1,165.24

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Solution

The fourth proportional to 2,049.34, 2,828.19 and 1,165.24 is: 1,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.34 : 2,828.19 = 1,165.24 : x
  2. Step 2: Convert to fraction form
    2,049.34/2,828.19 = 1,165.24/x
  3. Step 3: Cross multiply
    2,049.34x = 2,828.19 × 1,165.24
  4. Step 4: Simplify right side
    2,049.34x = 3,295,520.12
  5. Step 5: Solve for x
    x = 3,295,520.12/2,049.34
  6. Step 6: Final answer
    x = 1,608.09

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Double scale
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1.5x scale

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.