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Finding the Fourth Proportional to 1,676.44, 2,513.22 and 1,398.07

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Solution

The fourth proportional to 1,676.44, 2,513.22 and 1,398.07 is: 2,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.44 : 2,513.22 = 1,398.07 : x
  2. Step 2: Convert to fraction form
    1,676.44/2,513.22 = 1,398.07/x
  3. Step 3: Cross multiply
    1,676.44x = 2,513.22 × 1,398.07
  4. Step 4: Simplify right side
    1,676.44x = 3,513,657.49
  5. Step 5: Solve for x
    x = 3,513,657.49/1,676.44
  6. Step 6: Final answer
    x = 2,095.90

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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.