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Finding the Fourth Proportional to 1,978.71, 2,967.07 and 662.01

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Solution

The fourth proportional to 1,978.71, 2,967.07 and 662.01 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.71 : 2,967.07 = 662.01 : x
  2. Step 2: Convert to fraction form
    1,978.71/2,967.07 = 662.01/x
  3. Step 3: Cross multiply
    1,978.71x = 2,967.07 × 662.01
  4. Step 4: Simplify right side
    1,978.71x = 1,964,230.01
  5. Step 5: Solve for x
    x = 1,964,230.01/1,978.71
  6. Step 6: Final answer
    x = 992.68

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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.