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Finding the Fourth Proportional to 2,333.68, 3,499.61 and 872.03

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Solution

The fourth proportional to 2,333.68, 3,499.61 and 872.03 is: 1,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.68 : 3,499.61 = 872.03 : x
  2. Step 2: Convert to fraction form
    2,333.68/3,499.61 = 872.03/x
  3. Step 3: Cross multiply
    2,333.68x = 3,499.61 × 872.03
  4. Step 4: Simplify right side
    2,333.68x = 3,051,769.30
  5. Step 5: Solve for x
    x = 3,051,769.30/2,333.68
  6. Step 6: Final answer
    x = 1,307.71

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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.