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Finding the Fourth Proportional to 2,857.52, 3,946.92 and 2,464.40

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Solution

The fourth proportional to 2,857.52, 3,946.92 and 2,464.40 is: 3,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.52 : 3,946.92 = 2,464.40 : x
  2. Step 2: Convert to fraction form
    2,857.52/3,946.92 = 2,464.40/x
  3. Step 3: Cross multiply
    2,857.52x = 3,946.92 × 2,464.40
  4. Step 4: Simplify right side
    2,857.52x = 9,726,789.65
  5. Step 5: Solve for x
    x = 9,726,789.65/2,857.52
  6. Step 6: Final answer
    x = 3,403.93

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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.