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Finding the Fourth Proportional to 2,059.08, 3,087.12 and 1,364.88

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Solution

The fourth proportional to 2,059.08, 3,087.12 and 1,364.88 is: 2,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.08 : 3,087.12 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    2,059.08/3,087.12 = 1,364.88/x
  3. Step 3: Cross multiply
    2,059.08x = 3,087.12 × 1,364.88
  4. Step 4: Simplify right side
    2,059.08x = 4,213,548.35
  5. Step 5: Solve for x
    x = 4,213,548.35/2,059.08
  6. Step 6: Final answer
    x = 2,046.33

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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.