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Finding the Fourth Proportional to 2,705.86, 4,059.84 and 1,062.12

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Solution

The fourth proportional to 2,705.86, 4,059.84 and 1,062.12 is: 1,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.86 : 4,059.84 = 1,062.12 : x
  2. Step 2: Convert to fraction form
    2,705.86/4,059.84 = 1,062.12/x
  3. Step 3: Cross multiply
    2,705.86x = 4,059.84 × 1,062.12
  4. Step 4: Simplify right side
    2,705.86x = 4,312,037.26
  5. Step 5: Solve for x
    x = 4,312,037.26/2,705.86
  6. Step 6: Final answer
    x = 1,593.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.