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Finding the Fourth Proportional to 2,638.04, 3,957.65 and 994.60

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Solution

The fourth proportional to 2,638.04, 3,957.65 and 994.60 is: 1,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.04 : 3,957.65 = 994.60 : x
  2. Step 2: Convert to fraction form
    2,638.04/3,957.65 = 994.60/x
  3. Step 3: Cross multiply
    2,638.04x = 3,957.65 × 994.60
  4. Step 4: Simplify right side
    2,638.04x = 3,936,278.69
  5. Step 5: Solve for x
    x = 3,936,278.69/2,638.04
  6. Step 6: Final answer
    x = 1,492.12

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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.