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Finding the Fourth Proportional to 1,415.95, 2,122.21 and 1,249.89

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Solution

The fourth proportional to 1,415.95, 2,122.21 and 1,249.89 is: 1,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.95 : 2,122.21 = 1,249.89 : x
  2. Step 2: Convert to fraction form
    1,415.95/2,122.21 = 1,249.89/x
  3. Step 3: Cross multiply
    1,415.95x = 2,122.21 × 1,249.89
  4. Step 4: Simplify right side
    1,415.95x = 2,652,529.06
  5. Step 5: Solve for x
    x = 2,652,529.06/1,415.95
  6. Step 6: Final answer
    x = 1,873.32

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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.