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Finding the Fourth Proportional to 1,980.45, 2,970.67 and 811

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Solution

The fourth proportional to 1,980.45, 2,970.67 and 811 is: 1,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.45 : 2,970.67 = 811 : x
  2. Step 2: Convert to fraction form
    1,980.45/2,970.67 = 811/x
  3. Step 3: Cross multiply
    1,980.45x = 2,970.67 × 811
  4. Step 4: Simplify right side
    1,980.45x = 2,409,213.37
  5. Step 5: Solve for x
    x = 2,409,213.37/1,980.45
  6. Step 6: Final answer
    x = 1,216.50

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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.