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Finding the Fourth Proportional to 2,306.93, 3,460.41 and 575.56

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Solution

The fourth proportional to 2,306.93, 3,460.41 and 575.56 is: 863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.93 : 3,460.41 = 575.56 : x
  2. Step 2: Convert to fraction form
    2,306.93/3,460.41 = 575.56/x
  3. Step 3: Cross multiply
    2,306.93x = 3,460.41 × 575.56
  4. Step 4: Simplify right side
    2,306.93x = 1,991,664.93
  5. Step 5: Solve for x
    x = 1,991,664.93/2,306.93
  6. Step 6: Final answer
    x = 863.34

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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.