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Finding the Fourth Proportional to 1,900.29, 2,621.50 and 1,236.90

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Solution

The fourth proportional to 1,900.29, 2,621.50 and 1,236.90 is: 1,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.29 : 2,621.50 = 1,236.90 : x
  2. Step 2: Convert to fraction form
    1,900.29/2,621.50 = 1,236.90/x
  3. Step 3: Cross multiply
    1,900.29x = 2,621.50 × 1,236.90
  4. Step 4: Simplify right side
    1,900.29x = 3,242,533.35
  5. Step 5: Solve for x
    x = 3,242,533.35/1,900.29
  6. Step 6: Final answer
    x = 1,706.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.