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Finding the Fourth Proportional to 2,059.70, 2,841.09 and 1,361.30

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Solution

The fourth proportional to 2,059.70, 2,841.09 and 1,361.30 is: 1,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.70 : 2,841.09 = 1,361.30 : x
  2. Step 2: Convert to fraction form
    2,059.70/2,841.09 = 1,361.30/x
  3. Step 3: Cross multiply
    2,059.70x = 2,841.09 × 1,361.30
  4. Step 4: Simplify right side
    2,059.70x = 3,867,575.82
  5. Step 5: Solve for x
    x = 3,867,575.82/2,059.70
  6. Step 6: Final answer
    x = 1,877.74

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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.