Home / 2,046.24-2,826-2,023.20

Finding the Fourth Proportional to 2,046.24, 2,826 and 2,023.20

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Solution

The fourth proportional to 2,046.24, 2,826 and 2,023.20 is: 2,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.24 : 2,826 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    2,046.24/2,826 = 2,023.20/x
  3. Step 3: Cross multiply
    2,046.24x = 2,826 × 2,023.20
  4. Step 4: Simplify right side
    2,046.24x = 5,717,563.20
  5. Step 5: Solve for x
    x = 5,717,563.20/2,046.24
  6. Step 6: Final answer
    x = 2,794.18

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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.