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Finding the Fourth Proportional to 1,749.69, 2,413.83 and 1,120.08

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Solution

The fourth proportional to 1,749.69, 2,413.83 and 1,120.08 is: 1,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.69 : 2,413.83 = 1,120.08 : x
  2. Step 2: Convert to fraction form
    1,749.69/2,413.83 = 1,120.08/x
  3. Step 3: Cross multiply
    1,749.69x = 2,413.83 × 1,120.08
  4. Step 4: Simplify right side
    1,749.69x = 2,703,682.71
  5. Step 5: Solve for x
    x = 2,703,682.71/1,749.69
  6. Step 6: Final answer
    x = 1,545.24

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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.