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Finding the Fourth Proportional to 2,424.57, 3,638.67 and 944.03

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Solution

The fourth proportional to 2,424.57, 3,638.67 and 944.03 is: 1,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.57 : 3,638.67 = 944.03 : x
  2. Step 2: Convert to fraction form
    2,424.57/3,638.67 = 944.03/x
  3. Step 3: Cross multiply
    2,424.57x = 3,638.67 × 944.03
  4. Step 4: Simplify right side
    2,424.57x = 3,435,013.64
  5. Step 5: Solve for x
    x = 3,435,013.64/2,424.57
  6. Step 6: Final answer
    x = 1,416.75

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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.