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Finding the Fourth Proportional to 1,652.56, 2,268.08 and 1,511.78

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Solution

The fourth proportional to 1,652.56, 2,268.08 and 1,511.78 is: 2,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.56 : 2,268.08 = 1,511.78 : x
  2. Step 2: Convert to fraction form
    1,652.56/2,268.08 = 1,511.78/x
  3. Step 3: Cross multiply
    1,652.56x = 2,268.08 × 1,511.78
  4. Step 4: Simplify right side
    1,652.56x = 3,428,824.75
  5. Step 5: Solve for x
    x = 3,428,824.75/1,652.56
  6. Step 6: Final answer
    x = 2,074.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.