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Finding the Fourth Proportional to 1,673.10, 2,505.60 and 1,349.10

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Solution

The fourth proportional to 1,673.10, 2,505.60 and 1,349.10 is: 2,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.10 : 2,505.60 = 1,349.10 : x
  2. Step 2: Convert to fraction form
    1,673.10/2,505.60 = 1,349.10/x
  3. Step 3: Cross multiply
    1,673.10x = 2,505.60 × 1,349.10
  4. Step 4: Simplify right side
    1,673.10x = 3,380,304.96
  5. Step 5: Solve for x
    x = 3,380,304.96/1,673.10
  6. Step 6: Final answer
    x = 2,020.38

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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.