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Finding the Fourth Proportional to 2,982.60, 4,107.06 and 2,457.72

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Solution

The fourth proportional to 2,982.60, 4,107.06 and 2,457.72 is: 3,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.60 : 4,107.06 = 2,457.72 : x
  2. Step 2: Convert to fraction form
    2,982.60/4,107.06 = 2,457.72/x
  3. Step 3: Cross multiply
    2,982.60x = 4,107.06 × 2,457.72
  4. Step 4: Simplify right side
    2,982.60x = 10,094,003.50
  5. Step 5: Solve for x
    x = 10,094,003.50/2,982.60
  6. Step 6: Final answer
    x = 3,384.30

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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.