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Finding the Fourth Proportional to 3,195.17, 4,793.10 and 974.00

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Solution

The fourth proportional to 3,195.17, 4,793.10 and 974.00 is: 1,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.17 : 4,793.10 = 974.00 : x
  2. Step 2: Convert to fraction form
    3,195.17/4,793.10 = 974.00/x
  3. Step 3: Cross multiply
    3,195.17x = 4,793.10 × 974.00
  4. Step 4: Simplify right side
    3,195.17x = 4,668,476.99
  5. Step 5: Solve for x
    x = 4,668,476.99/3,195.17
  6. Step 6: Final answer
    x = 1,461.10

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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.