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Finding the Fourth Proportional to 1,812.36, 2,721.08 and 1,200

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Solution

The fourth proportional to 1,812.36, 2,721.08 and 1,200 is: 1,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.36 : 2,721.08 = 1,200 : x
  2. Step 2: Convert to fraction form
    1,812.36/2,721.08 = 1,200/x
  3. Step 3: Cross multiply
    1,812.36x = 2,721.08 × 1,200
  4. Step 4: Simplify right side
    1,812.36x = 3,265,296
  5. Step 5: Solve for x
    x = 3,265,296/1,812.36
  6. Step 6: Final answer
    x = 1,801.68

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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.