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Finding the Fourth Proportional to 1,978.40, 2,964.36 and 881.12

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Solution

The fourth proportional to 1,978.40, 2,964.36 and 881.12 is: 1,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.40 : 2,964.36 = 881.12 : x
  2. Step 2: Convert to fraction form
    1,978.40/2,964.36 = 881.12/x
  3. Step 3: Cross multiply
    1,978.40x = 2,964.36 × 881.12
  4. Step 4: Simplify right side
    1,978.40x = 2,611,956.88
  5. Step 5: Solve for x
    x = 2,611,956.88/1,978.40
  6. Step 6: Final answer
    x = 1,320.24

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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.