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Finding the Fourth Proportional to 2,275.83, 3,413.93 and 794.79

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Solution

The fourth proportional to 2,275.83, 3,413.93 and 794.79 is: 1,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.83 : 3,413.93 = 794.79 : x
  2. Step 2: Convert to fraction form
    2,275.83/3,413.93 = 794.79/x
  3. Step 3: Cross multiply
    2,275.83x = 3,413.93 × 794.79
  4. Step 4: Simplify right side
    2,275.83x = 2,713,353.45
  5. Step 5: Solve for x
    x = 2,713,353.45/2,275.83
  6. Step 6: Final answer
    x = 1,192.25

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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.