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Finding the Fourth Proportional to 1,410.36, 1,944.43 and 1,157.36

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Solution

The fourth proportional to 1,410.36, 1,944.43 and 1,157.36 is: 1,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 1,944.43 = 1,157.36 : x
  2. Step 2: Convert to fraction form
    1,410.36/1,944.43 = 1,157.36/x
  3. Step 3: Cross multiply
    1,410.36x = 1,944.43 × 1,157.36
  4. Step 4: Simplify right side
    1,410.36x = 2,250,405.50
  5. Step 5: Solve for x
    x = 2,250,405.50/1,410.36
  6. Step 6: Final answer
    x = 1,595.62

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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.