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Finding the Fourth Proportional to 2,553.20, 3,828.90 and 909.80

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Solution

The fourth proportional to 2,553.20, 3,828.90 and 909.80 is: 1,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.20 : 3,828.90 = 909.80 : x
  2. Step 2: Convert to fraction form
    2,553.20/3,828.90 = 909.80/x
  3. Step 3: Cross multiply
    2,553.20x = 3,828.90 × 909.80
  4. Step 4: Simplify right side
    2,553.20x = 3,483,533.22
  5. Step 5: Solve for x
    x = 3,483,533.22/2,553.20
  6. Step 6: Final answer
    x = 1,364.38

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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.