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Finding the Fourth Proportional to 2,980.96, 4,468 and 2,189.20

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Solution

The fourth proportional to 2,980.96, 4,468 and 2,189.20 is: 3,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.96 : 4,468 = 2,189.20 : x
  2. Step 2: Convert to fraction form
    2,980.96/4,468 = 2,189.20/x
  3. Step 3: Cross multiply
    2,980.96x = 4,468 × 2,189.20
  4. Step 4: Simplify right side
    2,980.96x = 9,781,345.60
  5. Step 5: Solve for x
    x = 9,781,345.60/2,980.96
  6. Step 6: Final answer
    x = 3,281.27

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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.