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Finding the Fourth Proportional to 1,415.24, 1,952.49 and 1,043.11

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Solution

The fourth proportional to 1,415.24, 1,952.49 and 1,043.11 is: 1,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.24 : 1,952.49 = 1,043.11 : x
  2. Step 2: Convert to fraction form
    1,415.24/1,952.49 = 1,043.11/x
  3. Step 3: Cross multiply
    1,415.24x = 1,952.49 × 1,043.11
  4. Step 4: Simplify right side
    1,415.24x = 2,036,660.87
  5. Step 5: Solve for x
    x = 2,036,660.87/1,415.24
  6. Step 6: Final answer
    x = 1,439.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.