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Finding the Fourth Proportional to 2,005.98, 2,764.50 and 1,445.48

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Solution

The fourth proportional to 2,005.98, 2,764.50 and 1,445.48 is: 1,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.98 : 2,764.50 = 1,445.48 : x
  2. Step 2: Convert to fraction form
    2,005.98/2,764.50 = 1,445.48/x
  3. Step 3: Cross multiply
    2,005.98x = 2,764.50 × 1,445.48
  4. Step 4: Simplify right side
    2,005.98x = 3,996,029.46
  5. Step 5: Solve for x
    x = 3,996,029.46/2,005.98
  6. Step 6: Final answer
    x = 1,992.06

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