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Finding the Fourth Proportional to 1,979.96, 2,970.95 and 1,322.28

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Solution

The fourth proportional to 1,979.96, 2,970.95 and 1,322.28 is: 1,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.96 : 2,970.95 = 1,322.28 : x
  2. Step 2: Convert to fraction form
    1,979.96/2,970.95 = 1,322.28/x
  3. Step 3: Cross multiply
    1,979.96x = 2,970.95 × 1,322.28
  4. Step 4: Simplify right side
    1,979.96x = 3,928,439.73
  5. Step 5: Solve for x
    x = 3,928,439.73/1,979.96
  6. Step 6: Final answer
    x = 1,984.10

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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.