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Finding the Fourth Proportional to 2,682.91, 4,024.20 and 1,594.20

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Solution

The fourth proportional to 2,682.91, 4,024.20 and 1,594.20 is: 2,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.91 : 4,024.20 = 1,594.20 : x
  2. Step 2: Convert to fraction form
    2,682.91/4,024.20 = 1,594.20/x
  3. Step 3: Cross multiply
    2,682.91x = 4,024.20 × 1,594.20
  4. Step 4: Simplify right side
    2,682.91x = 6,415,369.11
  5. Step 5: Solve for x
    x = 6,415,369.11/2,682.91
  6. Step 6: Final answer
    x = 2,391.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.