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Finding the Fourth Proportional to 2,294.10, 3,419.33 and 2,290.41

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Solution

The fourth proportional to 2,294.10, 3,419.33 and 2,290.41 is: 3,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.10 : 3,419.33 = 2,290.41 : x
  2. Step 2: Convert to fraction form
    2,294.10/3,419.33 = 2,290.41/x
  3. Step 3: Cross multiply
    2,294.10x = 3,419.33 × 2,290.41
  4. Step 4: Simplify right side
    2,294.10x = 7,831,656.17
  5. Step 5: Solve for x
    x = 7,831,656.17/2,294.10
  6. Step 6: Final answer
    x = 3,413.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.