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Finding the Fourth Proportional to 2,538.54, 3,502.85 and 1,419.53

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Solution

The fourth proportional to 2,538.54, 3,502.85 and 1,419.53 is: 1,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.54 : 3,502.85 = 1,419.53 : x
  2. Step 2: Convert to fraction form
    2,538.54/3,502.85 = 1,419.53/x
  3. Step 3: Cross multiply
    2,538.54x = 3,502.85 × 1,419.53
  4. Step 4: Simplify right side
    2,538.54x = 4,972,376.05
  5. Step 5: Solve for x
    x = 4,972,376.05/2,538.54
  6. Step 6: Final answer
    x = 1,958.75

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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.