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Finding the Fourth Proportional to 3,195.44, 4,793.88 and 974.47

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Solution

The fourth proportional to 3,195.44, 4,793.88 and 974.47 is: 1,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.44 : 4,793.88 = 974.47 : x
  2. Step 2: Convert to fraction form
    3,195.44/4,793.88 = 974.47/x
  3. Step 3: Cross multiply
    3,195.44x = 4,793.88 × 974.47
  4. Step 4: Simplify right side
    3,195.44x = 4,671,492.24
  5. Step 5: Solve for x
    x = 4,671,492.24/3,195.44
  6. Step 6: Final answer
    x = 1,461.92

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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.