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Finding the Fourth Proportional to 2,406.96, 3,610.44 and 946.26

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Solution

The fourth proportional to 2,406.96, 3,610.44 and 946.26 is: 1,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,610.44 = 946.26 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,610.44 = 946.26/x
  3. Step 3: Cross multiply
    2,406.96x = 3,610.44 × 946.26
  4. Step 4: Simplify right side
    2,406.96x = 3,416,414.95
  5. Step 5: Solve for x
    x = 3,416,414.95/2,406.96
  6. Step 6: Final answer
    x = 1,419.39

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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.