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Finding the Fourth Proportional to 3,413.22, 5,119.76 and 948.06

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Solution

The fourth proportional to 3,413.22, 5,119.76 and 948.06 is: 1,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.22 : 5,119.76 = 948.06 : x
  2. Step 2: Convert to fraction form
    3,413.22/5,119.76 = 948.06/x
  3. Step 3: Cross multiply
    3,413.22x = 5,119.76 × 948.06
  4. Step 4: Simplify right side
    3,413.22x = 4,853,834.93
  5. Step 5: Solve for x
    x = 4,853,834.93/3,413.22
  6. Step 6: Final answer
    x = 1,422.07

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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.