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Finding the Fourth Proportional to 2,260.68, 3,390.60 and 1,027.80

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Solution

The fourth proportional to 2,260.68, 3,390.60 and 1,027.80 is: 1,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.68 : 3,390.60 = 1,027.80 : x
  2. Step 2: Convert to fraction form
    2,260.68/3,390.60 = 1,027.80/x
  3. Step 3: Cross multiply
    2,260.68x = 3,390.60 × 1,027.80
  4. Step 4: Simplify right side
    2,260.68x = 3,484,858.68
  5. Step 5: Solve for x
    x = 3,484,858.68/2,260.68
  6. Step 6: Final answer
    x = 1,541.51

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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.