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Finding the Fourth Proportional to 2,316.14, 3,474.73 and 855.30

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Solution

The fourth proportional to 2,316.14, 3,474.73 and 855.30 is: 1,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.14 : 3,474.73 = 855.30 : x
  2. Step 2: Convert to fraction form
    2,316.14/3,474.73 = 855.30/x
  3. Step 3: Cross multiply
    2,316.14x = 3,474.73 × 855.30
  4. Step 4: Simplify right side
    2,316.14x = 2,971,936.57
  5. Step 5: Solve for x
    x = 2,971,936.57/2,316.14
  6. Step 6: Final answer
    x = 1,283.14

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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.