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Finding the Fourth Proportional to 1,996.65, 2,992.14 and 898.29

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Solution

The fourth proportional to 1,996.65, 2,992.14 and 898.29 is: 1,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.65 : 2,992.14 = 898.29 : x
  2. Step 2: Convert to fraction form
    1,996.65/2,992.14 = 898.29/x
  3. Step 3: Cross multiply
    1,996.65x = 2,992.14 × 898.29
  4. Step 4: Simplify right side
    1,996.65x = 2,687,809.44
  5. Step 5: Solve for x
    x = 2,687,809.44/1,996.65
  6. Step 6: Final answer
    x = 1,346.16

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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.