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Finding the Fourth Proportional to 1,983.83, 2,973.24 and 942.98

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Solution

The fourth proportional to 1,983.83, 2,973.24 and 942.98 is: 1,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.83 : 2,973.24 = 942.98 : x
  2. Step 2: Convert to fraction form
    1,983.83/2,973.24 = 942.98/x
  3. Step 3: Cross multiply
    1,983.83x = 2,973.24 × 942.98
  4. Step 4: Simplify right side
    1,983.83x = 2,803,690.99
  5. Step 5: Solve for x
    x = 2,803,690.99/1,983.83
  6. Step 6: Final answer
    x = 1,413.28

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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.