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Finding the Fourth Proportional to 2,059.11, 3,087.92 and 597.96

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Solution

The fourth proportional to 2,059.11, 3,087.92 and 597.96 is: 896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.11 : 3,087.92 = 597.96 : x
  2. Step 2: Convert to fraction form
    2,059.11/3,087.92 = 597.96/x
  3. Step 3: Cross multiply
    2,059.11x = 3,087.92 × 597.96
  4. Step 4: Simplify right side
    2,059.11x = 1,846,449.65
  5. Step 5: Solve for x
    x = 1,846,449.65/2,059.11
  6. Step 6: Final answer
    x = 896.72

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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.