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Finding the Fourth Proportional to 1,607.96, 2,411.60 and 453.44

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Solution

The fourth proportional to 1,607.96, 2,411.60 and 453.44 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.96 : 2,411.60 = 453.44 : x
  2. Step 2: Convert to fraction form
    1,607.96/2,411.60 = 453.44/x
  3. Step 3: Cross multiply
    1,607.96x = 2,411.60 × 453.44
  4. Step 4: Simplify right side
    1,607.96x = 1,093,515.90
  5. Step 5: Solve for x
    x = 1,093,515.90/1,607.96
  6. Step 6: Final answer
    x = 680.06

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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.