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Finding the Fourth Proportional to 2,775.31, 4,165.01 and 1,314.46

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Solution

The fourth proportional to 2,775.31, 4,165.01 and 1,314.46 is: 1,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.31 : 4,165.01 = 1,314.46 : x
  2. Step 2: Convert to fraction form
    2,775.31/4,165.01 = 1,314.46/x
  3. Step 3: Cross multiply
    2,775.31x = 4,165.01 × 1,314.46
  4. Step 4: Simplify right side
    2,775.31x = 5,474,739.04
  5. Step 5: Solve for x
    x = 5,474,739.04/2,775.31
  6. Step 6: Final answer
    x = 1,972.66

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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.