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Finding the Fourth Proportional to 2,647.32, 3,652.56 and 2,086.05

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Solution

The fourth proportional to 2,647.32, 3,652.56 and 2,086.05 is: 2,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.32 : 3,652.56 = 2,086.05 : x
  2. Step 2: Convert to fraction form
    2,647.32/3,652.56 = 2,086.05/x
  3. Step 3: Cross multiply
    2,647.32x = 3,652.56 × 2,086.05
  4. Step 4: Simplify right side
    2,647.32x = 7,619,409.09
  5. Step 5: Solve for x
    x = 7,619,409.09/2,647.32
  6. Step 6: Final answer
    x = 2,878.16

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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.