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Finding the Fourth Proportional to 2,638.24, 3,957.78 and 994.92

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Solution

The fourth proportional to 2,638.24, 3,957.78 and 994.92 is: 1,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.24 : 3,957.78 = 994.92 : x
  2. Step 2: Convert to fraction form
    2,638.24/3,957.78 = 994.92/x
  3. Step 3: Cross multiply
    2,638.24x = 3,957.78 × 994.92
  4. Step 4: Simplify right side
    2,638.24x = 3,937,674.48
  5. Step 5: Solve for x
    x = 3,937,674.48/2,638.24
  6. Step 6: Final answer
    x = 1,492.54

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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.