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Finding the Fourth Proportional to 2,564.20, 3,838.20 and 1,835.20

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Solution

The fourth proportional to 2,564.20, 3,838.20 and 1,835.20 is: 2,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.20 : 3,838.20 = 1,835.20 : x
  2. Step 2: Convert to fraction form
    2,564.20/3,838.20 = 1,835.20/x
  3. Step 3: Cross multiply
    2,564.20x = 3,838.20 × 1,835.20
  4. Step 4: Simplify right side
    2,564.20x = 7,043,864.64
  5. Step 5: Solve for x
    x = 7,043,864.64/2,564.20
  6. Step 6: Final answer
    x = 2,747.00

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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.