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Finding the Fourth Proportional to 2,538.46, 3,503.06 and 1,419.40

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Solution

The fourth proportional to 2,538.46, 3,503.06 and 1,419.40 is: 1,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.46 : 3,503.06 = 1,419.40 : x
  2. Step 2: Convert to fraction form
    2,538.46/3,503.06 = 1,419.40/x
  3. Step 3: Cross multiply
    2,538.46x = 3,503.06 × 1,419.40
  4. Step 4: Simplify right side
    2,538.46x = 4,972,236.27
  5. Step 5: Solve for x
    x = 4,972,236.27/2,538.46
  6. Step 6: Final answer
    x = 1,958.76

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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.