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Finding the Fourth Proportional to 2,775.51, 4,164.62 and 1,314.27

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Solution

The fourth proportional to 2,775.51, 4,164.62 and 1,314.27 is: 1,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.51 : 4,164.62 = 1,314.27 : x
  2. Step 2: Convert to fraction form
    2,775.51/4,164.62 = 1,314.27/x
  3. Step 3: Cross multiply
    2,775.51x = 4,164.62 × 1,314.27
  4. Step 4: Simplify right side
    2,775.51x = 5,473,428.56
  5. Step 5: Solve for x
    x = 5,473,428.56/2,775.51
  6. Step 6: Final answer
    x = 1,972.04

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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.