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Finding the Fourth Proportional to 1,637.30, 2,455.68 and 944.75

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Solution

The fourth proportional to 1,637.30, 2,455.68 and 944.75 is: 1,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.30 : 2,455.68 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,637.30/2,455.68 = 944.75/x
  3. Step 3: Cross multiply
    1,637.30x = 2,455.68 × 944.75
  4. Step 4: Simplify right side
    1,637.30x = 2,320,003.68
  5. Step 5: Solve for x
    x = 2,320,003.68/1,637.30
  6. Step 6: Final answer
    x = 1,416.97

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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.