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Finding the Fourth Proportional to 2,059.22, 2,839.65 and 1,360.82

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Solution

The fourth proportional to 2,059.22, 2,839.65 and 1,360.82 is: 1,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.22 : 2,839.65 = 1,360.82 : x
  2. Step 2: Convert to fraction form
    2,059.22/2,839.65 = 1,360.82/x
  3. Step 3: Cross multiply
    2,059.22x = 2,839.65 × 1,360.82
  4. Step 4: Simplify right side
    2,059.22x = 3,864,252.51
  5. Step 5: Solve for x
    x = 3,864,252.51/2,059.22
  6. Step 6: Final answer
    x = 1,876.56

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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.