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Finding the Fourth Proportional to 1,748.33, 2,413.01 and 1,049.75

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Solution

The fourth proportional to 1,748.33, 2,413.01 and 1,049.75 is: 1,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.33 : 2,413.01 = 1,049.75 : x
  2. Step 2: Convert to fraction form
    1,748.33/2,413.01 = 1,049.75/x
  3. Step 3: Cross multiply
    1,748.33x = 2,413.01 × 1,049.75
  4. Step 4: Simplify right side
    1,748.33x = 2,533,052.00
  5. Step 5: Solve for x
    x = 2,533,052.00/1,748.33
  6. Step 6: Final answer
    x = 1,448.84

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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.