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Finding the Fourth Proportional to 2,333.21, 3,499.97 and 946.53

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Solution

The fourth proportional to 2,333.21, 3,499.97 and 946.53 is: 1,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.21 : 3,499.97 = 946.53 : x
  2. Step 2: Convert to fraction form
    2,333.21/3,499.97 = 946.53/x
  3. Step 3: Cross multiply
    2,333.21x = 3,499.97 × 946.53
  4. Step 4: Simplify right side
    2,333.21x = 3,312,826.60
  5. Step 5: Solve for x
    x = 3,312,826.60/2,333.21
  6. Step 6: Final answer
    x = 1,419.86

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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.