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Finding the Fourth Proportional to 2,535.20, 3,802.80 and 2,535.20

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Solution

The fourth proportional to 2,535.20, 3,802.80 and 2,535.20 is: 3,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.20 : 3,802.80 = 2,535.20 : x
  2. Step 2: Convert to fraction form
    2,535.20/3,802.80 = 2,535.20/x
  3. Step 3: Cross multiply
    2,535.20x = 3,802.80 × 2,535.20
  4. Step 4: Simplify right side
    2,535.20x = 9,640,858.56
  5. Step 5: Solve for x
    x = 9,640,858.56/2,535.20
  6. Step 6: Final answer
    x = 3,802.80

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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.