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Finding the Fourth Proportional to 2,553.18, 3,830.10 and 910.20

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Solution

The fourth proportional to 2,553.18, 3,830.10 and 910.20 is: 1,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.18 : 3,830.10 = 910.20 : x
  2. Step 2: Convert to fraction form
    2,553.18/3,830.10 = 910.20/x
  3. Step 3: Cross multiply
    2,553.18x = 3,830.10 × 910.20
  4. Step 4: Simplify right side
    2,553.18x = 3,486,157.02
  5. Step 5: Solve for x
    x = 3,486,157.02/2,553.18
  6. Step 6: Final answer
    x = 1,365.42

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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.