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Finding the Fourth Proportional to 2,461.72, 3,690.48 and 1,998.34

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Solution

The fourth proportional to 2,461.72, 3,690.48 and 1,998.34 is: 2,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.72 : 3,690.48 = 1,998.34 : x
  2. Step 2: Convert to fraction form
    2,461.72/3,690.48 = 1,998.34/x
  3. Step 3: Cross multiply
    2,461.72x = 3,690.48 × 1,998.34
  4. Step 4: Simplify right side
    2,461.72x = 7,374,815.35
  5. Step 5: Solve for x
    x = 7,374,815.35/2,461.72
  6. Step 6: Final answer
    x = 2,995.80

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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.