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Finding the Fourth Proportional to 2,114.90, 3,172.25 and 554.87

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Solution

The fourth proportional to 2,114.90, 3,172.25 and 554.87 is: 832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.90 : 3,172.25 = 554.87 : x
  2. Step 2: Convert to fraction form
    2,114.90/3,172.25 = 554.87/x
  3. Step 3: Cross multiply
    2,114.90x = 3,172.25 × 554.87
  4. Step 4: Simplify right side
    2,114.90x = 1,760,171.88
  5. Step 5: Solve for x
    x = 1,760,171.88/2,114.90
  6. Step 6: Final answer
    x = 832.27

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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.