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Finding the Fourth Proportional to 1,468.71, 2,025.93 and 1,271.88

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Solution

The fourth proportional to 1,468.71, 2,025.93 and 1,271.88 is: 1,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.71 : 2,025.93 = 1,271.88 : x
  2. Step 2: Convert to fraction form
    1,468.71/2,025.93 = 1,271.88/x
  3. Step 3: Cross multiply
    1,468.71x = 2,025.93 × 1,271.88
  4. Step 4: Simplify right side
    1,468.71x = 2,576,739.85
  5. Step 5: Solve for x
    x = 2,576,739.85/1,468.71
  6. Step 6: Final answer
    x = 1,754.42

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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.