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Finding the Fourth Proportional to 3,173.54, 4,760.70 and 982.48

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Solution

The fourth proportional to 3,173.54, 4,760.70 and 982.48 is: 1,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.54 : 4,760.70 = 982.48 : x
  2. Step 2: Convert to fraction form
    3,173.54/4,760.70 = 982.48/x
  3. Step 3: Cross multiply
    3,173.54x = 4,760.70 × 982.48
  4. Step 4: Simplify right side
    3,173.54x = 4,677,292.54
  5. Step 5: Solve for x
    x = 4,677,292.54/3,173.54
  6. Step 6: Final answer
    x = 1,473.84

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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.