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Finding the Fourth Proportional to 2,333.10, 3,499.79 and 946.38

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Solution

The fourth proportional to 2,333.10, 3,499.79 and 946.38 is: 1,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.10 : 3,499.79 = 946.38 : x
  2. Step 2: Convert to fraction form
    2,333.10/3,499.79 = 946.38/x
  3. Step 3: Cross multiply
    2,333.10x = 3,499.79 × 946.38
  4. Step 4: Simplify right side
    2,333.10x = 3,312,126.53
  5. Step 5: Solve for x
    x = 3,312,126.53/2,333.10
  6. Step 6: Final answer
    x = 1,419.62

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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.