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Finding the Fourth Proportional to 1,273.34, 1,908.98 and 1,200.90

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Solution

The fourth proportional to 1,273.34, 1,908.98 and 1,200.90 is: 1,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.34 : 1,908.98 = 1,200.90 : x
  2. Step 2: Convert to fraction form
    1,273.34/1,908.98 = 1,200.90/x
  3. Step 3: Cross multiply
    1,273.34x = 1,908.98 × 1,200.90
  4. Step 4: Simplify right side
    1,273.34x = 2,292,495.76
  5. Step 5: Solve for x
    x = 2,292,495.76/1,273.34
  6. Step 6: Final answer
    x = 1,800.38

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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.