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Finding the Fourth Proportional to 3,261.52, 4,892.27 and 953.02

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Solution

The fourth proportional to 3,261.52, 4,892.27 and 953.02 is: 1,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.52 : 4,892.27 = 953.02 : x
  2. Step 2: Convert to fraction form
    3,261.52/4,892.27 = 953.02/x
  3. Step 3: Cross multiply
    3,261.52x = 4,892.27 × 953.02
  4. Step 4: Simplify right side
    3,261.52x = 4,662,413.03
  5. Step 5: Solve for x
    x = 4,662,413.03/3,261.52
  6. Step 6: Final answer
    x = 1,429.52

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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.