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Finding the Fourth Proportional to 2,333.10, 3,499.64 and 946.11

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Solution

The fourth proportional to 2,333.10, 3,499.64 and 946.11 is: 1,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.10 : 3,499.64 = 946.11 : x
  2. Step 2: Convert to fraction form
    2,333.10/3,499.64 = 946.11/x
  3. Step 3: Cross multiply
    2,333.10x = 3,499.64 × 946.11
  4. Step 4: Simplify right side
    2,333.10x = 3,311,039.67
  5. Step 5: Solve for x
    x = 3,311,039.67/2,333.10
  6. Step 6: Final answer
    x = 1,419.16

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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.