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Finding the Fourth Proportional to 1,608.28, 2,410.65 and 1,052.32

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Solution

The fourth proportional to 1,608.28, 2,410.65 and 1,052.32 is: 1,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.28 : 2,410.65 = 1,052.32 : x
  2. Step 2: Convert to fraction form
    1,608.28/2,410.65 = 1,052.32/x
  3. Step 3: Cross multiply
    1,608.28x = 2,410.65 × 1,052.32
  4. Step 4: Simplify right side
    1,608.28x = 2,536,775.21
  5. Step 5: Solve for x
    x = 2,536,775.21/1,608.28
  6. Step 6: Final answer
    x = 1,577.32

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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.