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Finding the Fourth Proportional to 2,420.14, 3,629.82 and 688.36

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Solution

The fourth proportional to 2,420.14, 3,629.82 and 688.36 is: 1,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.14 : 3,629.82 = 688.36 : x
  2. Step 2: Convert to fraction form
    2,420.14/3,629.82 = 688.36/x
  3. Step 3: Cross multiply
    2,420.14x = 3,629.82 × 688.36
  4. Step 4: Simplify right side
    2,420.14x = 2,498,622.90
  5. Step 5: Solve for x
    x = 2,498,622.90/2,420.14
  6. Step 6: Final answer
    x = 1,032.43

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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.