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Finding the Fourth Proportional to 2,333.23, 3,499.82 and 946.24

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Solution

The fourth proportional to 2,333.23, 3,499.82 and 946.24 is: 1,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.23 : 3,499.82 = 946.24 : x
  2. Step 2: Convert to fraction form
    2,333.23/3,499.82 = 946.24/x
  3. Step 3: Cross multiply
    2,333.23x = 3,499.82 × 946.24
  4. Step 4: Simplify right side
    2,333.23x = 3,311,652.18
  5. Step 5: Solve for x
    x = 3,311,652.18/2,333.23
  6. Step 6: Final answer
    x = 1,419.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.