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Finding the Fourth Proportional to 2,275.97, 3,413.49 and 632.12

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Solution

The fourth proportional to 2,275.97, 3,413.49 and 632.12 is: 948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.97 : 3,413.49 = 632.12 : x
  2. Step 2: Convert to fraction form
    2,275.97/3,413.49 = 632.12/x
  3. Step 3: Cross multiply
    2,275.97x = 3,413.49 × 632.12
  4. Step 4: Simplify right side
    2,275.97x = 2,157,738.62
  5. Step 5: Solve for x
    x = 2,157,738.62/2,275.97
  6. Step 6: Final answer
    x = 948.05

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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.