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Finding the Fourth Proportional to 2,980.86, 4,462.62 and 2,005.20

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Solution

The fourth proportional to 2,980.86, 4,462.62 and 2,005.20 is: 3,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.86 : 4,462.62 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    2,980.86/4,462.62 = 2,005.20/x
  3. Step 3: Cross multiply
    2,980.86x = 4,462.62 × 2,005.20
  4. Step 4: Simplify right side
    2,980.86x = 8,948,445.62
  5. Step 5: Solve for x
    x = 8,948,445.62/2,980.86
  6. Step 6: Final answer
    x = 3,001.97

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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.