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Finding the Fourth Proportional to 2,306.84, 3,460.22 and 575.44

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Solution

The fourth proportional to 2,306.84, 3,460.22 and 575.44 is: 863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.84 : 3,460.22 = 575.44 : x
  2. Step 2: Convert to fraction form
    2,306.84/3,460.22 = 575.44/x
  3. Step 3: Cross multiply
    2,306.84x = 3,460.22 × 575.44
  4. Step 4: Simplify right side
    2,306.84x = 1,991,149.00
  5. Step 5: Solve for x
    x = 1,991,149.00/2,306.84
  6. Step 6: Final answer
    x = 863.15

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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.