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Finding the Fourth Proportional to 2,504.33, 3,748.64 and 1,719.75

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Solution

The fourth proportional to 2,504.33, 3,748.64 and 1,719.75 is: 2,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.33 : 3,748.64 = 1,719.75 : x
  2. Step 2: Convert to fraction form
    2,504.33/3,748.64 = 1,719.75/x
  3. Step 3: Cross multiply
    2,504.33x = 3,748.64 × 1,719.75
  4. Step 4: Simplify right side
    2,504.33x = 6,446,696.30
  5. Step 5: Solve for x
    x = 6,446,696.30/2,504.33
  6. Step 6: Final answer
    x = 2,574.22

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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.