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Finding the Fourth Proportional to 2,922.23, 4,383.57 and 974.43

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Solution

The fourth proportional to 2,922.23, 4,383.57 and 974.43 is: 1,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.23 : 4,383.57 = 974.43 : x
  2. Step 2: Convert to fraction form
    2,922.23/4,383.57 = 974.43/x
  3. Step 3: Cross multiply
    2,922.23x = 4,383.57 × 974.43
  4. Step 4: Simplify right side
    2,922.23x = 4,271,482.12
  5. Step 5: Solve for x
    x = 4,271,482.12/2,922.23
  6. Step 6: Final answer
    x = 1,461.72

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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.