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Finding the Fourth Proportional to 2,672.64, 4,012.20 and 2,457.18

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Solution

The fourth proportional to 2,672.64, 4,012.20 and 2,457.18 is: 3,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.64 : 4,012.20 = 2,457.18 : x
  2. Step 2: Convert to fraction form
    2,672.64/4,012.20 = 2,457.18/x
  3. Step 3: Cross multiply
    2,672.64x = 4,012.20 × 2,457.18
  4. Step 4: Simplify right side
    2,672.64x = 9,858,697.60
  5. Step 5: Solve for x
    x = 9,858,697.60/2,672.64
  6. Step 6: Final answer
    x = 3,688.75

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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.