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Finding the Fourth Proportional to 1,749.24, 2,413.96 and 1,003.22

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Solution

The fourth proportional to 1,749.24, 2,413.96 and 1,003.22 is: 1,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.24 : 2,413.96 = 1,003.22 : x
  2. Step 2: Convert to fraction form
    1,749.24/2,413.96 = 1,003.22/x
  3. Step 3: Cross multiply
    1,749.24x = 2,413.96 × 1,003.22
  4. Step 4: Simplify right side
    1,749.24x = 2,421,732.95
  5. Step 5: Solve for x
    x = 2,421,732.95/1,749.24
  6. Step 6: Final answer
    x = 1,384.45

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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.