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Finding the Fourth Proportional to 2,144.01, 3,215.98 and 683.14

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Solution

The fourth proportional to 2,144.01, 3,215.98 and 683.14 is: 1,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.01 : 3,215.98 = 683.14 : x
  2. Step 2: Convert to fraction form
    2,144.01/3,215.98 = 683.14/x
  3. Step 3: Cross multiply
    2,144.01x = 3,215.98 × 683.14
  4. Step 4: Simplify right side
    2,144.01x = 2,196,969.45
  5. Step 5: Solve for x
    x = 2,196,969.45/2,144.01
  6. Step 6: Final answer
    x = 1,024.70

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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.