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Finding the Fourth Proportional to 1,415.89, 2,122.81 and 952.52

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Solution

The fourth proportional to 1,415.89, 2,122.81 and 952.52 is: 1,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.89 : 2,122.81 = 952.52 : x
  2. Step 2: Convert to fraction form
    1,415.89/2,122.81 = 952.52/x
  3. Step 3: Cross multiply
    1,415.89x = 2,122.81 × 952.52
  4. Step 4: Simplify right side
    1,415.89x = 2,022,018.98
  5. Step 5: Solve for x
    x = 2,022,018.98/1,415.89
  6. Step 6: Final answer
    x = 1,428.09

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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.