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Finding the Fourth Proportional to 1,981.24, 2,970.73 and 809.88

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Solution

The fourth proportional to 1,981.24, 2,970.73 and 809.88 is: 1,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.24 : 2,970.73 = 809.88 : x
  2. Step 2: Convert to fraction form
    1,981.24/2,970.73 = 809.88/x
  3. Step 3: Cross multiply
    1,981.24x = 2,970.73 × 809.88
  4. Step 4: Simplify right side
    1,981.24x = 2,405,934.81
  5. Step 5: Solve for x
    x = 2,405,934.81/1,981.24
  6. Step 6: Final answer
    x = 1,214.36

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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.