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Finding the Fourth Proportional to 2,383.90, 3,575.94 and 996.46

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Solution

The fourth proportional to 2,383.90, 3,575.94 and 996.46 is: 1,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.90 : 3,575.94 = 996.46 : x
  2. Step 2: Convert to fraction form
    2,383.90/3,575.94 = 996.46/x
  3. Step 3: Cross multiply
    2,383.90x = 3,575.94 × 996.46
  4. Step 4: Simplify right side
    2,383.90x = 3,563,281.17
  5. Step 5: Solve for x
    x = 3,563,281.17/2,383.90
  6. Step 6: Final answer
    x = 1,494.73

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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.