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Finding the Fourth Proportional to 1,926.44, 2,658.50 and 1,042.25

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Solution

The fourth proportional to 1,926.44, 2,658.50 and 1,042.25 is: 1,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.44 : 2,658.50 = 1,042.25 : x
  2. Step 2: Convert to fraction form
    1,926.44/2,658.50 = 1,042.25/x
  3. Step 3: Cross multiply
    1,926.44x = 2,658.50 × 1,042.25
  4. Step 4: Simplify right side
    1,926.44x = 2,770,803.12
  5. Step 5: Solve for x
    x = 2,770,803.12/1,926.44
  6. Step 6: Final answer
    x = 1,438.30

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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.