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Finding the Fourth Proportional to 2,734.36, 3,773.58 and 2,070.16

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Solution

The fourth proportional to 2,734.36, 3,773.58 and 2,070.16 is: 2,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.36 : 3,773.58 = 2,070.16 : x
  2. Step 2: Convert to fraction form
    2,734.36/3,773.58 = 2,070.16/x
  3. Step 3: Cross multiply
    2,734.36x = 3,773.58 × 2,070.16
  4. Step 4: Simplify right side
    2,734.36x = 7,811,914.37
  5. Step 5: Solve for x
    x = 7,811,914.37/2,734.36
  6. Step 6: Final answer
    x = 2,856.94

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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.