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Finding the Fourth Proportional to 3,264.47, 4,896.49 and 1,043.24

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Solution

The fourth proportional to 3,264.47, 4,896.49 and 1,043.24 is: 1,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.47 : 4,896.49 = 1,043.24 : x
  2. Step 2: Convert to fraction form
    3,264.47/4,896.49 = 1,043.24/x
  3. Step 3: Cross multiply
    3,264.47x = 4,896.49 × 1,043.24
  4. Step 4: Simplify right side
    3,264.47x = 5,108,214.23
  5. Step 5: Solve for x
    x = 5,108,214.23/3,264.47
  6. Step 6: Final answer
    x = 1,564.79

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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.