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Finding the Fourth Proportional to 2,682.92, 4,024.23 and 708.50

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Solution

The fourth proportional to 2,682.92, 4,024.23 and 708.50 is: 1,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.92 : 4,024.23 = 708.50 : x
  2. Step 2: Convert to fraction form
    2,682.92/4,024.23 = 708.50/x
  3. Step 3: Cross multiply
    2,682.92x = 4,024.23 × 708.50
  4. Step 4: Simplify right side
    2,682.92x = 2,851,155.71
  5. Step 5: Solve for x
    x = 2,851,155.71/2,682.92
  6. Step 6: Final answer
    x = 1,062.71

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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.