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Finding the Fourth Proportional to 2,071.53, 3,107.33 and 738.39

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Solution

The fourth proportional to 2,071.53, 3,107.33 and 738.39 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.53 : 3,107.33 = 738.39 : x
  2. Step 2: Convert to fraction form
    2,071.53/3,107.33 = 738.39/x
  3. Step 3: Cross multiply
    2,071.53x = 3,107.33 × 738.39
  4. Step 4: Simplify right side
    2,071.53x = 2,294,413.26
  5. Step 5: Solve for x
    x = 2,294,413.26/2,071.53
  6. Step 6: Final answer
    x = 1,107.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.