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Finding the Fourth Proportional to 3,165.44, 4,368.22 and 1,749.23

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Solution

The fourth proportional to 3,165.44, 4,368.22 and 1,749.23 is: 2,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.44 : 4,368.22 = 1,749.23 : x
  2. Step 2: Convert to fraction form
    3,165.44/4,368.22 = 1,749.23/x
  3. Step 3: Cross multiply
    3,165.44x = 4,368.22 × 1,749.23
  4. Step 4: Simplify right side
    3,165.44x = 7,641,021.47
  5. Step 5: Solve for x
    x = 7,641,021.47/3,165.44
  6. Step 6: Final answer
    x = 2,413.89

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1.5x scale

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.