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Finding the Fourth Proportional to 1,990.46, 2,746.77 and 1,204.37

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Solution

The fourth proportional to 1,990.46, 2,746.77 and 1,204.37 is: 1,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.46 : 2,746.77 = 1,204.37 : x
  2. Step 2: Convert to fraction form
    1,990.46/2,746.77 = 1,204.37/x
  3. Step 3: Cross multiply
    1,990.46x = 2,746.77 × 1,204.37
  4. Step 4: Simplify right side
    1,990.46x = 3,308,127.38
  5. Step 5: Solve for x
    x = 3,308,127.38/1,990.46
  6. Step 6: Final answer
    x = 1,661.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.