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Finding the Fourth Proportional to 2,415, 3,619.80 and 1,027.92

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Solution

The fourth proportional to 2,415, 3,619.80 and 1,027.92 is: 1,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415 : 3,619.80 = 1,027.92 : x
  2. Step 2: Convert to fraction form
    2,415/3,619.80 = 1,027.92/x
  3. Step 3: Cross multiply
    2,415x = 3,619.80 × 1,027.92
  4. Step 4: Simplify right side
    2,415x = 3,720,864.82
  5. Step 5: Solve for x
    x = 3,720,864.82/2,415
  6. Step 6: Final answer
    x = 1,540.73

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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.