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Finding the Fourth Proportional to 2,315.07, 3,473.21 and 854.37

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Solution

The fourth proportional to 2,315.07, 3,473.21 and 854.37 is: 1,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.07 : 3,473.21 = 854.37 : x
  2. Step 2: Convert to fraction form
    2,315.07/3,473.21 = 854.37/x
  3. Step 3: Cross multiply
    2,315.07x = 3,473.21 × 854.37
  4. Step 4: Simplify right side
    2,315.07x = 2,967,408.56
  5. Step 5: Solve for x
    x = 2,967,408.56/2,315.07
  6. Step 6: Final answer
    x = 1,281.78

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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.