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Finding the Fourth Proportional to 3,323.26, 4,983.54 and 982.63

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Solution

The fourth proportional to 3,323.26, 4,983.54 and 982.63 is: 1,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.26 : 4,983.54 = 982.63 : x
  2. Step 2: Convert to fraction form
    3,323.26/4,983.54 = 982.63/x
  3. Step 3: Cross multiply
    3,323.26x = 4,983.54 × 982.63
  4. Step 4: Simplify right side
    3,323.26x = 4,896,975.91
  5. Step 5: Solve for x
    x = 4,896,975.91/3,323.26
  6. Step 6: Final answer
    x = 1,473.55

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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.