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Finding the Fourth Proportional to 2,333.26, 3,499.20 and 872.07

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Solution

The fourth proportional to 2,333.26, 3,499.20 and 872.07 is: 1,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.26 : 3,499.20 = 872.07 : x
  2. Step 2: Convert to fraction form
    2,333.26/3,499.20 = 872.07/x
  3. Step 3: Cross multiply
    2,333.26x = 3,499.20 × 872.07
  4. Step 4: Simplify right side
    2,333.26x = 3,051,534.22
  5. Step 5: Solve for x
    x = 3,051,534.22/2,333.26
  6. Step 6: Final answer
    x = 1,307.84

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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.