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Finding the Fourth Proportional to 2,047.14, 3,070.82 and 586.41

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Solution

The fourth proportional to 2,047.14, 3,070.82 and 586.41 is: 879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.14 : 3,070.82 = 586.41 : x
  2. Step 2: Convert to fraction form
    2,047.14/3,070.82 = 586.41/x
  3. Step 3: Cross multiply
    2,047.14x = 3,070.82 × 586.41
  4. Step 4: Simplify right side
    2,047.14x = 1,800,759.56
  5. Step 5: Solve for x
    x = 1,800,759.56/2,047.14
  6. Step 6: Final answer
    x = 879.65

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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.