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Finding the Fourth Proportional to 2,760.48, 3,809.36 and 1,581.48

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Solution

The fourth proportional to 2,760.48, 3,809.36 and 1,581.48 is: 2,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.48 : 3,809.36 = 1,581.48 : x
  2. Step 2: Convert to fraction form
    2,760.48/3,809.36 = 1,581.48/x
  3. Step 3: Cross multiply
    2,760.48x = 3,809.36 × 1,581.48
  4. Step 4: Simplify right side
    2,760.48x = 6,024,426.65
  5. Step 5: Solve for x
    x = 6,024,426.65/2,760.48
  6. Step 6: Final answer
    x = 2,182.38

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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.