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Finding the Fourth Proportional to 2,597.94, 3,585.17 and 1,419.03

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Solution

The fourth proportional to 2,597.94, 3,585.17 and 1,419.03 is: 1,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.94 : 3,585.17 = 1,419.03 : x
  2. Step 2: Convert to fraction form
    2,597.94/3,585.17 = 1,419.03/x
  3. Step 3: Cross multiply
    2,597.94x = 3,585.17 × 1,419.03
  4. Step 4: Simplify right side
    2,597.94x = 5,087,467.33
  5. Step 5: Solve for x
    x = 5,087,467.33/2,597.94
  6. Step 6: Final answer
    x = 1,958.27

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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.