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Finding the Fourth Proportional to 2,329.54, 3,493.76 and 942.48

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Solution

The fourth proportional to 2,329.54, 3,493.76 and 942.48 is: 1,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.54 : 3,493.76 = 942.48 : x
  2. Step 2: Convert to fraction form
    2,329.54/3,493.76 = 942.48/x
  3. Step 3: Cross multiply
    2,329.54x = 3,493.76 × 942.48
  4. Step 4: Simplify right side
    2,329.54x = 3,292,794.21
  5. Step 5: Solve for x
    x = 3,292,794.21/2,329.54
  6. Step 6: Final answer
    x = 1,413.50

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1.5x scale

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.