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Finding the Fourth Proportional to 2,464.40, 3,705.12 and 1,980.83

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Solution

The fourth proportional to 2,464.40, 3,705.12 and 1,980.83 is: 2,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.40 : 3,705.12 = 1,980.83 : x
  2. Step 2: Convert to fraction form
    2,464.40/3,705.12 = 1,980.83/x
  3. Step 3: Cross multiply
    2,464.40x = 3,705.12 × 1,980.83
  4. Step 4: Simplify right side
    2,464.40x = 7,339,194.32
  5. Step 5: Solve for x
    x = 7,339,194.32/2,464.40
  6. Step 6: Final answer
    x = 2,978.09

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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.