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Finding the Fourth Proportional to 2,980.88, 4,115.46 and 1,919.04

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Solution

The fourth proportional to 2,980.88, 4,115.46 and 1,919.04 is: 2,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.88 : 4,115.46 = 1,919.04 : x
  2. Step 2: Convert to fraction form
    2,980.88/4,115.46 = 1,919.04/x
  3. Step 3: Cross multiply
    2,980.88x = 4,115.46 × 1,919.04
  4. Step 4: Simplify right side
    2,980.88x = 7,897,732.36
  5. Step 5: Solve for x
    x = 7,897,732.36/2,980.88
  6. Step 6: Final answer
    x = 2,649.46

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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.