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Finding the Fourth Proportional to 2,980.70, 4,113.48 and 1,985.31

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Solution

The fourth proportional to 2,980.70, 4,113.48 and 1,985.31 is: 2,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.70 : 4,113.48 = 1,985.31 : x
  2. Step 2: Convert to fraction form
    2,980.70/4,113.48 = 1,985.31/x
  3. Step 3: Cross multiply
    2,980.70x = 4,113.48 × 1,985.31
  4. Step 4: Simplify right side
    2,980.70x = 8,166,540.42
  5. Step 5: Solve for x
    x = 8,166,540.42/2,980.70
  6. Step 6: Final answer
    x = 2,739.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.