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Finding the Fourth Proportional to 3,449.16, 5,173.02 and 983.32

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Solution

The fourth proportional to 3,449.16, 5,173.02 and 983.32 is: 1,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.16 : 5,173.02 = 983.32 : x
  2. Step 2: Convert to fraction form
    3,449.16/5,173.02 = 983.32/x
  3. Step 3: Cross multiply
    3,449.16x = 5,173.02 × 983.32
  4. Step 4: Simplify right side
    3,449.16x = 5,086,734.03
  5. Step 5: Solve for x
    x = 5,086,734.03/3,449.16
  6. Step 6: Final answer
    x = 1,474.77

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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.