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Finding the Fourth Proportional to 1,676.96, 2,498.44 and 1,594.34

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Solution

The fourth proportional to 1,676.96, 2,498.44 and 1,594.34 is: 2,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.96 : 2,498.44 = 1,594.34 : x
  2. Step 2: Convert to fraction form
    1,676.96/2,498.44 = 1,594.34/x
  3. Step 3: Cross multiply
    1,676.96x = 2,498.44 × 1,594.34
  4. Step 4: Simplify right side
    1,676.96x = 3,983,362.83
  5. Step 5: Solve for x
    x = 3,983,362.83/1,676.96
  6. Step 6: Final answer
    x = 2,375.35

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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.