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Finding the Fourth Proportional to 1,926.42, 2,658.46 and 1,042.22

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Solution

The fourth proportional to 1,926.42, 2,658.46 and 1,042.22 is: 1,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.42 : 2,658.46 = 1,042.22 : x
  2. Step 2: Convert to fraction form
    1,926.42/2,658.46 = 1,042.22/x
  3. Step 3: Cross multiply
    1,926.42x = 2,658.46 × 1,042.22
  4. Step 4: Simplify right side
    1,926.42x = 2,770,700.18
  5. Step 5: Solve for x
    x = 2,770,700.18/1,926.42
  6. Step 6: Final answer
    x = 1,438.26

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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.