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Finding the Fourth Proportional to 2,420.40, 3,625.02 and 2,380.26

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Solution

The fourth proportional to 2,420.40, 3,625.02 and 2,380.26 is: 3,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.40 : 3,625.02 = 2,380.26 : x
  2. Step 2: Convert to fraction form
    2,420.40/3,625.02 = 2,380.26/x
  3. Step 3: Cross multiply
    2,420.40x = 3,625.02 × 2,380.26
  4. Step 4: Simplify right side
    2,420.40x = 8,628,490.11
  5. Step 5: Solve for x
    x = 8,628,490.11/2,420.40
  6. Step 6: Final answer
    x = 3,564.90

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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.