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Finding the Fourth Proportional to 1,584.89, 2,187 and 1,467.34

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Solution

The fourth proportional to 1,584.89, 2,187 and 1,467.34 is: 2,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.89 : 2,187 = 1,467.34 : x
  2. Step 2: Convert to fraction form
    1,584.89/2,187 = 1,467.34/x
  3. Step 3: Cross multiply
    1,584.89x = 2,187 × 1,467.34
  4. Step 4: Simplify right side
    1,584.89x = 3,209,073.26
  5. Step 5: Solve for x
    x = 3,209,073.26/1,584.89
  6. Step 6: Final answer
    x = 2,024.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.