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Finding the Fourth Proportional to 2,059.15, 3,089.36 and 672.49

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Solution

The fourth proportional to 2,059.15, 3,089.36 and 672.49 is: 1,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.15 : 3,089.36 = 672.49 : x
  2. Step 2: Convert to fraction form
    2,059.15/3,089.36 = 672.49/x
  3. Step 3: Cross multiply
    2,059.15x = 3,089.36 × 672.49
  4. Step 4: Simplify right side
    2,059.15x = 2,077,560.34
  5. Step 5: Solve for x
    x = 2,077,560.34/2,059.15
  6. Step 6: Final answer
    x = 1,008.94

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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.