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Finding the Fourth Proportional to 2,468.52, 3,399.12 and 2,047.32

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Solution

The fourth proportional to 2,468.52, 3,399.12 and 2,047.32 is: 2,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.52 : 3,399.12 = 2,047.32 : x
  2. Step 2: Convert to fraction form
    2,468.52/3,399.12 = 2,047.32/x
  3. Step 3: Cross multiply
    2,468.52x = 3,399.12 × 2,047.32
  4. Step 4: Simplify right side
    2,468.52x = 6,959,086.36
  5. Step 5: Solve for x
    x = 6,959,086.36/2,468.52
  6. Step 6: Final answer
    x = 2,819.13

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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.