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Finding the Fourth Proportional to 2,504.96, 3,458.56 and 1,573.76

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Solution

The fourth proportional to 2,504.96, 3,458.56 and 1,573.76 is: 2,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.96 : 3,458.56 = 1,573.76 : x
  2. Step 2: Convert to fraction form
    2,504.96/3,458.56 = 1,573.76/x
  3. Step 3: Cross multiply
    2,504.96x = 3,458.56 × 1,573.76
  4. Step 4: Simplify right side
    2,504.96x = 5,442,943.39
  5. Step 5: Solve for x
    x = 5,442,943.39/2,504.96
  6. Step 6: Final answer
    x = 2,172.87

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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.