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Finding the Fourth Proportional to 2,760.91, 3,810.07 and 1,582.05

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Solution

The fourth proportional to 2,760.91, 3,810.07 and 1,582.05 is: 2,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.91 : 3,810.07 = 1,582.05 : x
  2. Step 2: Convert to fraction form
    2,760.91/3,810.07 = 1,582.05/x
  3. Step 3: Cross multiply
    2,760.91x = 3,810.07 × 1,582.05
  4. Step 4: Simplify right side
    2,760.91x = 6,027,721.24
  5. Step 5: Solve for x
    x = 6,027,721.24/2,760.91
  6. Step 6: Final answer
    x = 2,183.24

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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.