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Finding the Fourth Proportional to 1,749.09, 2,413.64 and 952.41

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Solution

The fourth proportional to 1,749.09, 2,413.64 and 952.41 is: 1,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.09 : 2,413.64 = 952.41 : x
  2. Step 2: Convert to fraction form
    1,749.09/2,413.64 = 952.41/x
  3. Step 3: Cross multiply
    1,749.09x = 2,413.64 × 952.41
  4. Step 4: Simplify right side
    1,749.09x = 2,298,770.11
  5. Step 5: Solve for x
    x = 2,298,770.11/1,749.09
  6. Step 6: Final answer
    x = 1,314.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.