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Finding the Fourth Proportional to 1,607.37, 2,410.82 and 1,335.21

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Solution

The fourth proportional to 1,607.37, 2,410.82 and 1,335.21 is: 2,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.37 : 2,410.82 = 1,335.21 : x
  2. Step 2: Convert to fraction form
    1,607.37/2,410.82 = 1,335.21/x
  3. Step 3: Cross multiply
    1,607.37x = 2,410.82 × 1,335.21
  4. Step 4: Simplify right side
    1,607.37x = 3,218,944.30
  5. Step 5: Solve for x
    x = 3,218,944.30/1,607.37
  6. Step 6: Final answer
    x = 2,002.62

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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.