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Finding the Fourth Proportional to 2,275.35, 3,413.32 and 794.87

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Solution

The fourth proportional to 2,275.35, 3,413.32 and 794.87 is: 1,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.35 : 3,413.32 = 794.87 : x
  2. Step 2: Convert to fraction form
    2,275.35/3,413.32 = 794.87/x
  3. Step 3: Cross multiply
    2,275.35x = 3,413.32 × 794.87
  4. Step 4: Simplify right side
    2,275.35x = 2,713,145.67
  5. Step 5: Solve for x
    x = 2,713,145.67/2,275.35
  6. Step 6: Final answer
    x = 1,192.41

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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.