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Finding the Fourth Proportional to 1,926.41, 2,658.42 and 1,042.19

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Solution

The fourth proportional to 1,926.41, 2,658.42 and 1,042.19 is: 1,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.41 : 2,658.42 = 1,042.19 : x
  2. Step 2: Convert to fraction form
    1,926.41/2,658.42 = 1,042.19/x
  3. Step 3: Cross multiply
    1,926.41x = 2,658.42 × 1,042.19
  4. Step 4: Simplify right side
    1,926.41x = 2,770,575.42
  5. Step 5: Solve for x
    x = 2,770,575.42/1,926.41
  6. Step 6: Final answer
    x = 1,438.21

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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.