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Finding the Fourth Proportional to 1,621.19, 2,237.24 and 949.46

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Solution

The fourth proportional to 1,621.19, 2,237.24 and 949.46 is: 1,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.19 : 2,237.24 = 949.46 : x
  2. Step 2: Convert to fraction form
    1,621.19/2,237.24 = 949.46/x
  3. Step 3: Cross multiply
    1,621.19x = 2,237.24 × 949.46
  4. Step 4: Simplify right side
    1,621.19x = 2,124,169.89
  5. Step 5: Solve for x
    x = 2,124,169.89/1,621.19
  6. Step 6: Final answer
    x = 1,310.25

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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.