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Finding the Fourth Proportional to 1,673.06, 2,505.94 and 1,654.37

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Solution

The fourth proportional to 1,673.06, 2,505.94 and 1,654.37 is: 2,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.06 : 2,505.94 = 1,654.37 : x
  2. Step 2: Convert to fraction form
    1,673.06/2,505.94 = 1,654.37/x
  3. Step 3: Cross multiply
    1,673.06x = 2,505.94 × 1,654.37
  4. Step 4: Simplify right side
    1,673.06x = 4,145,758.79
  5. Step 5: Solve for x
    x = 4,145,758.79/1,673.06
  6. Step 6: Final answer
    x = 2,477.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.