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Finding the Fourth Proportional to 1,415.52, 2,120.51 and 927.09

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Solution

The fourth proportional to 1,415.52, 2,120.51 and 927.09 is: 1,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.52 : 2,120.51 = 927.09 : x
  2. Step 2: Convert to fraction form
    1,415.52/2,120.51 = 927.09/x
  3. Step 3: Cross multiply
    1,415.52x = 2,120.51 × 927.09
  4. Step 4: Simplify right side
    1,415.52x = 1,965,898.98
  5. Step 5: Solve for x
    x = 1,965,898.98/1,415.52
  6. Step 6: Final answer
    x = 1,388.82

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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.