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Finding the Fourth Proportional to 2,980.40, 4,116.96 and 2,290.40

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Solution

The fourth proportional to 2,980.40, 4,116.96 and 2,290.40 is: 3,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.40 : 4,116.96 = 2,290.40 : x
  2. Step 2: Convert to fraction form
    2,980.40/4,116.96 = 2,290.40/x
  3. Step 3: Cross multiply
    2,980.40x = 4,116.96 × 2,290.40
  4. Step 4: Simplify right side
    2,980.40x = 9,429,485.18
  5. Step 5: Solve for x
    x = 9,429,485.18/2,980.40
  6. Step 6: Final answer
    x = 3,163.83

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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.