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Finding the Fourth Proportional to 1,962.49, 2,940.03 and 974.14

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Solution

The fourth proportional to 1,962.49, 2,940.03 and 974.14 is: 1,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.49 : 2,940.03 = 974.14 : x
  2. Step 2: Convert to fraction form
    1,962.49/2,940.03 = 974.14/x
  3. Step 3: Cross multiply
    1,962.49x = 2,940.03 × 974.14
  4. Step 4: Simplify right side
    1,962.49x = 2,864,000.82
  5. Step 5: Solve for x
    x = 2,864,000.82/1,962.49
  6. Step 6: Final answer
    x = 1,459.37

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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.