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Finding the Fourth Proportional to 1,632.94, 2,449.60 and 939.98

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Solution

The fourth proportional to 1,632.94, 2,449.60 and 939.98 is: 1,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.94 : 2,449.60 = 939.98 : x
  2. Step 2: Convert to fraction form
    1,632.94/2,449.60 = 939.98/x
  3. Step 3: Cross multiply
    1,632.94x = 2,449.60 × 939.98
  4. Step 4: Simplify right side
    1,632.94x = 2,302,575.01
  5. Step 5: Solve for x
    x = 2,302,575.01/1,632.94
  6. Step 6: Final answer
    x = 1,410.08

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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.