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Finding the Fourth Proportional to 1,765.50, 2,629.59 and 1,672.98

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Solution

The fourth proportional to 1,765.50, 2,629.59 and 1,672.98 is: 2,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.50 : 2,629.59 = 1,672.98 : x
  2. Step 2: Convert to fraction form
    1,765.50/2,629.59 = 1,672.98/x
  3. Step 3: Cross multiply
    1,765.50x = 2,629.59 × 1,672.98
  4. Step 4: Simplify right side
    1,765.50x = 4,399,251.48
  5. Step 5: Solve for x
    x = 4,399,251.48/1,765.50
  6. Step 6: Final answer
    x = 2,491.79

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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.