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Finding the Fourth Proportional to 1,749.16, 2,413.84 and 963.20

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Solution

The fourth proportional to 1,749.16, 2,413.84 and 963.20 is: 1,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.16 : 2,413.84 = 963.20 : x
  2. Step 2: Convert to fraction form
    1,749.16/2,413.84 = 963.20/x
  3. Step 3: Cross multiply
    1,749.16x = 2,413.84 × 963.20
  4. Step 4: Simplify right side
    1,749.16x = 2,325,010.69
  5. Step 5: Solve for x
    x = 2,325,010.69/1,749.16
  6. Step 6: Final answer
    x = 1,329.22

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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.