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Finding the Fourth Proportional to 1,990.92, 2,983.14 and 1,577.82

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Solution

The fourth proportional to 1,990.92, 2,983.14 and 1,577.82 is: 2,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.92 : 2,983.14 = 1,577.82 : x
  2. Step 2: Convert to fraction form
    1,990.92/2,983.14 = 1,577.82/x
  3. Step 3: Cross multiply
    1,990.92x = 2,983.14 × 1,577.82
  4. Step 4: Simplify right side
    1,990.92x = 4,706,857.95
  5. Step 5: Solve for x
    x = 4,706,857.95/1,990.92
  6. Step 6: Final answer
    x = 2,364.16

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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.