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Finding the Fourth Proportional to 1,624.24, 2,438.52 and 967.33

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Solution

The fourth proportional to 1,624.24, 2,438.52 and 967.33 is: 1,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.24 : 2,438.52 = 967.33 : x
  2. Step 2: Convert to fraction form
    1,624.24/2,438.52 = 967.33/x
  3. Step 3: Cross multiply
    1,624.24x = 2,438.52 × 967.33
  4. Step 4: Simplify right side
    1,624.24x = 2,358,853.55
  5. Step 5: Solve for x
    x = 2,358,853.55/1,624.24
  6. Step 6: Final answer
    x = 1,452.28

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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.