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Finding the Fourth Proportional to 1,998, 2,992.68 and 1,303.92

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Solution

The fourth proportional to 1,998, 2,992.68 and 1,303.92 is: 1,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998 : 2,992.68 = 1,303.92 : x
  2. Step 2: Convert to fraction form
    1,998/2,992.68 = 1,303.92/x
  3. Step 3: Cross multiply
    1,998x = 2,992.68 × 1,303.92
  4. Step 4: Simplify right side
    1,998x = 3,902,215.31
  5. Step 5: Solve for x
    x = 3,902,215.31/1,998
  6. Step 6: Final answer
    x = 1,953.06

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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.