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Finding the Fourth Proportional to 1,927.74, 2,658.96 and 1,228.80

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Solution

The fourth proportional to 1,927.74, 2,658.96 and 1,228.80 is: 1,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.74 : 2,658.96 = 1,228.80 : x
  2. Step 2: Convert to fraction form
    1,927.74/2,658.96 = 1,228.80/x
  3. Step 3: Cross multiply
    1,927.74x = 2,658.96 × 1,228.80
  4. Step 4: Simplify right side
    1,927.74x = 3,267,330.05
  5. Step 5: Solve for x
    x = 3,267,330.05/1,927.74
  6. Step 6: Final answer
    x = 1,694.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.