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Finding the Fourth Proportional to 2,259.36, 3,390.46 and 1,026.88

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Solution

The fourth proportional to 2,259.36, 3,390.46 and 1,026.88 is: 1,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.36 : 3,390.46 = 1,026.88 : x
  2. Step 2: Convert to fraction form
    2,259.36/3,390.46 = 1,026.88/x
  3. Step 3: Cross multiply
    2,259.36x = 3,390.46 × 1,026.88
  4. Step 4: Simplify right side
    2,259.36x = 3,481,584.52
  5. Step 5: Solve for x
    x = 3,481,584.52/2,259.36
  6. Step 6: Final answer
    x = 1,540.96

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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.