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Finding the Fourth Proportional to 2,705.60, 4,062.96 and 2,047.52

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Solution

The fourth proportional to 2,705.60, 4,062.96 and 2,047.52 is: 3,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.60 : 4,062.96 = 2,047.52 : x
  2. Step 2: Convert to fraction form
    2,705.60/4,062.96 = 2,047.52/x
  3. Step 3: Cross multiply
    2,705.60x = 4,062.96 × 2,047.52
  4. Step 4: Simplify right side
    2,705.60x = 8,318,991.86
  5. Step 5: Solve for x
    x = 8,318,991.86/2,705.60
  6. Step 6: Final answer
    x = 3,074.73

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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.