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Finding the Fourth Proportional to 1,981.65, 2,971.45 and 993.41

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Solution

The fourth proportional to 1,981.65, 2,971.45 and 993.41 is: 1,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.65 : 2,971.45 = 993.41 : x
  2. Step 2: Convert to fraction form
    1,981.65/2,971.45 = 993.41/x
  3. Step 3: Cross multiply
    1,981.65x = 2,971.45 × 993.41
  4. Step 4: Simplify right side
    1,981.65x = 2,951,868.14
  5. Step 5: Solve for x
    x = 2,951,868.14/1,981.65
  6. Step 6: Final answer
    x = 1,489.60

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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.