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Finding the Fourth Proportional to 1,970.28, 2,956.62 and 816

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Solution

The fourth proportional to 1,970.28, 2,956.62 and 816 is: 1,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.28 : 2,956.62 = 816 : x
  2. Step 2: Convert to fraction form
    1,970.28/2,956.62 = 816/x
  3. Step 3: Cross multiply
    1,970.28x = 2,956.62 × 816
  4. Step 4: Simplify right side
    1,970.28x = 2,412,601.92
  5. Step 5: Solve for x
    x = 2,412,601.92/1,970.28
  6. Step 6: Final answer
    x = 1,224.50

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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.