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Finding the Fourth Proportional to 1,283.47, 1,911.36 and 1,200.43

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Solution

The fourth proportional to 1,283.47, 1,911.36 and 1,200.43 is: 1,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.47 : 1,911.36 = 1,200.43 : x
  2. Step 2: Convert to fraction form
    1,283.47/1,911.36 = 1,200.43/x
  3. Step 3: Cross multiply
    1,283.47x = 1,911.36 × 1,200.43
  4. Step 4: Simplify right side
    1,283.47x = 2,294,453.88
  5. Step 5: Solve for x
    x = 2,294,453.88/1,283.47
  6. Step 6: Final answer
    x = 1,787.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.