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Finding the Fourth Proportional to 2,689.96, 4,033.68 and 1,594.48

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Solution

The fourth proportional to 2,689.96, 4,033.68 and 1,594.48 is: 2,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.96 : 4,033.68 = 1,594.48 : x
  2. Step 2: Convert to fraction form
    2,689.96/4,033.68 = 1,594.48/x
  3. Step 3: Cross multiply
    2,689.96x = 4,033.68 × 1,594.48
  4. Step 4: Simplify right side
    2,689.96x = 6,431,622.09
  5. Step 5: Solve for x
    x = 6,431,622.09/2,689.96
  6. Step 6: Final answer
    x = 2,390.97

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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.