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Finding the Fourth Proportional to 4,171.32, 6,260.04 and 1,980.05

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Solution

The fourth proportional to 4,171.32, 6,260.04 and 1,980.05 is: 2,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.32 : 6,260.04 = 1,980.05 : x
  2. Step 2: Convert to fraction form
    4,171.32/6,260.04 = 1,980.05/x
  3. Step 3: Cross multiply
    4,171.32x = 6,260.04 × 1,980.05
  4. Step 4: Simplify right side
    4,171.32x = 12,395,192.20
  5. Step 5: Solve for x
    x = 12,395,192.20/4,171.32
  6. Step 6: Final answer
    x = 2,971.53

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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.