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Finding the Fourth Proportional to 1,764.26, 2,646.80 and 942.10

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Solution

The fourth proportional to 1,764.26, 2,646.80 and 942.10 is: 1,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.26 : 2,646.80 = 942.10 : x
  2. Step 2: Convert to fraction form
    1,764.26/2,646.80 = 942.10/x
  3. Step 3: Cross multiply
    1,764.26x = 2,646.80 × 942.10
  4. Step 4: Simplify right side
    1,764.26x = 2,493,550.28
  5. Step 5: Solve for x
    x = 2,493,550.28/1,764.26
  6. Step 6: Final answer
    x = 1,413.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.