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Finding the Fourth Proportional to 1,763.63, 2,644.90 and 1,219.31

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Solution

The fourth proportional to 1,763.63, 2,644.90 and 1,219.31 is: 1,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.63 : 2,644.90 = 1,219.31 : x
  2. Step 2: Convert to fraction form
    1,763.63/2,644.90 = 1,219.31/x
  3. Step 3: Cross multiply
    1,763.63x = 2,644.90 × 1,219.31
  4. Step 4: Simplify right side
    1,763.63x = 3,224,953.02
  5. Step 5: Solve for x
    x = 3,224,953.02/1,763.63
  6. Step 6: Final answer
    x = 1,828.59

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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.