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Finding the Fourth Proportional to 3,044.66, 4,202.43 and 1,926.14

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Solution

The fourth proportional to 3,044.66, 4,202.43 and 1,926.14 is: 2,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.66 : 4,202.43 = 1,926.14 : x
  2. Step 2: Convert to fraction form
    3,044.66/4,202.43 = 1,926.14/x
  3. Step 3: Cross multiply
    3,044.66x = 4,202.43 × 1,926.14
  4. Step 4: Simplify right side
    3,044.66x = 8,094,468.52
  5. Step 5: Solve for x
    x = 8,094,468.52/3,044.66
  6. Step 6: Final answer
    x = 2,658.58

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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.