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Finding the Fourth Proportional to 1,467.21, 2,200.41 and 589.71

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Solution

The fourth proportional to 1,467.21, 2,200.41 and 589.71 is: 884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.21 : 2,200.41 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,467.21/2,200.41 = 589.71/x
  3. Step 3: Cross multiply
    1,467.21x = 2,200.41 × 589.71
  4. Step 4: Simplify right side
    1,467.21x = 1,297,603.78
  5. Step 5: Solve for x
    x = 1,297,603.78/1,467.21
  6. Step 6: Final answer
    x = 884.40

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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.