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Finding the Fourth Proportional to 2,114.00, 3,172.32 and 1,018.48

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Solution

The fourth proportional to 2,114.00, 3,172.32 and 1,018.48 is: 1,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.00 : 3,172.32 = 1,018.48 : x
  2. Step 2: Convert to fraction form
    2,114.00/3,172.32 = 1,018.48/x
  3. Step 3: Cross multiply
    2,114.00x = 3,172.32 × 1,018.48
  4. Step 4: Simplify right side
    2,114.00x = 3,230,936.54
  5. Step 5: Solve for x
    x = 3,230,936.54/2,114.00
  6. Step 6: Final answer
    x = 1,528.35

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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.