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Finding the Fourth Proportional to 2,316.15, 3,472.59 and 855.09

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Solution

The fourth proportional to 2,316.15, 3,472.59 and 855.09 is: 1,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.15 : 3,472.59 = 855.09 : x
  2. Step 2: Convert to fraction form
    2,316.15/3,472.59 = 855.09/x
  3. Step 3: Cross multiply
    2,316.15x = 3,472.59 × 855.09
  4. Step 4: Simplify right side
    2,316.15x = 2,969,376.98
  5. Step 5: Solve for x
    x = 2,969,376.98/2,316.15
  6. Step 6: Final answer
    x = 1,282.03

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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.