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Finding the Fourth Proportional to 2,931.08, 4,396.22 and 983.24

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Solution

The fourth proportional to 2,931.08, 4,396.22 and 983.24 is: 1,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.08 : 4,396.22 = 983.24 : x
  2. Step 2: Convert to fraction form
    2,931.08/4,396.22 = 983.24/x
  3. Step 3: Cross multiply
    2,931.08x = 4,396.22 × 983.24
  4. Step 4: Simplify right side
    2,931.08x = 4,322,539.35
  5. Step 5: Solve for x
    x = 4,322,539.35/2,931.08
  6. Step 6: Final answer
    x = 1,474.73

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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.