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Finding the Fourth Proportional to 1,764.50, 2,628.11 and 1,671.98

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Solution

The fourth proportional to 1,764.50, 2,628.11 and 1,671.98 is: 2,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.50 : 2,628.11 = 1,671.98 : x
  2. Step 2: Convert to fraction form
    1,764.50/2,628.11 = 1,671.98/x
  3. Step 3: Cross multiply
    1,764.50x = 2,628.11 × 1,671.98
  4. Step 4: Simplify right side
    1,764.50x = 4,394,147.36
  5. Step 5: Solve for x
    x = 4,394,147.36/1,764.50
  6. Step 6: Final answer
    x = 2,490.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.