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Finding the Fourth Proportional to 2,538.82, 3,503.40 and 1,419.70

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Solution

The fourth proportional to 2,538.82, 3,503.40 and 1,419.70 is: 1,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.82 : 3,503.40 = 1,419.70 : x
  2. Step 2: Convert to fraction form
    2,538.82/3,503.40 = 1,419.70/x
  3. Step 3: Cross multiply
    2,538.82x = 3,503.40 × 1,419.70
  4. Step 4: Simplify right side
    2,538.82x = 4,973,776.98
  5. Step 5: Solve for x
    x = 4,973,776.98/2,538.82
  6. Step 6: Final answer
    x = 1,959.09

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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.