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Finding the Fourth Proportional to 1,978.24, 2,968.40 and 809.11

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Solution

The fourth proportional to 1,978.24, 2,968.40 and 809.11 is: 1,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.24 : 2,968.40 = 809.11 : x
  2. Step 2: Convert to fraction form
    1,978.24/2,968.40 = 809.11/x
  3. Step 3: Cross multiply
    1,978.24x = 2,968.40 × 809.11
  4. Step 4: Simplify right side
    1,978.24x = 2,401,762.12
  5. Step 5: Solve for x
    x = 2,401,762.12/1,978.24
  6. Step 6: Final answer
    x = 1,214.09

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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.