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Finding the Fourth Proportional to 2,271.52, 3,133.64 and 1,474.78

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Solution

The fourth proportional to 2,271.52, 3,133.64 and 1,474.78 is: 2,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.52 : 3,133.64 = 1,474.78 : x
  2. Step 2: Convert to fraction form
    2,271.52/3,133.64 = 1,474.78/x
  3. Step 3: Cross multiply
    2,271.52x = 3,133.64 × 1,474.78
  4. Step 4: Simplify right side
    2,271.52x = 4,621,431.85
  5. Step 5: Solve for x
    x = 4,621,431.85/2,271.52
  6. Step 6: Final answer
    x = 2,034.51

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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.