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Finding the Fourth Proportional to 2,573.63, 3,551.96 and 1,578.73

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Solution

The fourth proportional to 2,573.63, 3,551.96 and 1,578.73 is: 2,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.63 : 3,551.96 = 1,578.73 : x
  2. Step 2: Convert to fraction form
    2,573.63/3,551.96 = 1,578.73/x
  3. Step 3: Cross multiply
    2,573.63x = 3,551.96 × 1,578.73
  4. Step 4: Simplify right side
    2,573.63x = 5,607,585.81
  5. Step 5: Solve for x
    x = 5,607,585.81/2,573.63
  6. Step 6: Final answer
    x = 2,178.86

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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.