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Finding the Fourth Proportional to 1,927.68, 2,889.60 and 774.24

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Solution

The fourth proportional to 1,927.68, 2,889.60 and 774.24 is: 1,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.68 : 2,889.60 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,927.68/2,889.60 = 774.24/x
  3. Step 3: Cross multiply
    1,927.68x = 2,889.60 × 774.24
  4. Step 4: Simplify right side
    1,927.68x = 2,237,243.90
  5. Step 5: Solve for x
    x = 2,237,243.90/1,927.68
  6. Step 6: Final answer
    x = 1,160.59

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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.