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Finding the Fourth Proportional to 1,981.64, 2,972.80 and 682.80

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Solution

The fourth proportional to 1,981.64, 2,972.80 and 682.80 is: 1,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.64 : 2,972.80 = 682.80 : x
  2. Step 2: Convert to fraction form
    1,981.64/2,972.80 = 682.80/x
  3. Step 3: Cross multiply
    1,981.64x = 2,972.80 × 682.80
  4. Step 4: Simplify right side
    1,981.64x = 2,029,827.84
  5. Step 5: Solve for x
    x = 2,029,827.84/1,981.64
  6. Step 6: Final answer
    x = 1,024.32

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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.