Home / 2,814.24-3,880.48-2,289.28

Finding the Fourth Proportional to 2,814.24, 3,880.48 and 2,289.28

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Solution

The fourth proportional to 2,814.24, 3,880.48 and 2,289.28 is: 3,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.24 : 3,880.48 = 2,289.28 : x
  2. Step 2: Convert to fraction form
    2,814.24/3,880.48 = 2,289.28/x
  3. Step 3: Cross multiply
    2,814.24x = 3,880.48 × 2,289.28
  4. Step 4: Simplify right side
    2,814.24x = 8,883,505.25
  5. Step 5: Solve for x
    x = 8,883,505.25/2,814.24
  6. Step 6: Final answer
    x = 3,156.63

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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.