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Finding the Fourth Proportional to 1,999.96, 2,760 and 1,410.70

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Solution

The fourth proportional to 1,999.96, 2,760 and 1,410.70 is: 1,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.96 : 2,760 = 1,410.70 : x
  2. Step 2: Convert to fraction form
    1,999.96/2,760 = 1,410.70/x
  3. Step 3: Cross multiply
    1,999.96x = 2,760 × 1,410.70
  4. Step 4: Simplify right side
    1,999.96x = 3,893,532
  5. Step 5: Solve for x
    x = 3,893,532/1,999.96
  6. Step 6: Final answer
    x = 1,946.80

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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.