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Finding the Fourth Proportional to 2,394.18, 3,294.98 and 2,026

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Solution

The fourth proportional to 2,394.18, 3,294.98 and 2,026 is: 2,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.18 : 3,294.98 = 2,026 : x
  2. Step 2: Convert to fraction form
    2,394.18/3,294.98 = 2,026/x
  3. Step 3: Cross multiply
    2,394.18x = 3,294.98 × 2,026
  4. Step 4: Simplify right side
    2,394.18x = 6,675,629.48
  5. Step 5: Solve for x
    x = 6,675,629.48/2,394.18
  6. Step 6: Final answer
    x = 2,788.27

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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.