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Finding the Fourth Proportional to 2,403.44, 3,602.64 and 942.56

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Solution

The fourth proportional to 2,403.44, 3,602.64 and 942.56 is: 1,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.44 : 3,602.64 = 942.56 : x
  2. Step 2: Convert to fraction form
    2,403.44/3,602.64 = 942.56/x
  3. Step 3: Cross multiply
    2,403.44x = 3,602.64 × 942.56
  4. Step 4: Simplify right side
    2,403.44x = 3,395,704.36
  5. Step 5: Solve for x
    x = 3,395,704.36/2,403.44
  6. Step 6: Final answer
    x = 1,412.85

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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.