Home / 2,049.24-2,828.08-1,165.12

Finding the Fourth Proportional to 2,049.24, 2,828.08 and 1,165.12

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Solution

The fourth proportional to 2,049.24, 2,828.08 and 1,165.12 is: 1,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.24 : 2,828.08 = 1,165.12 : x
  2. Step 2: Convert to fraction form
    2,049.24/2,828.08 = 1,165.12/x
  3. Step 3: Cross multiply
    2,049.24x = 2,828.08 × 1,165.12
  4. Step 4: Simplify right side
    2,049.24x = 3,295,052.57
  5. Step 5: Solve for x
    x = 3,295,052.57/2,049.24
  6. Step 6: Final answer
    x = 1,607.94

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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.