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Finding the Fourth Proportional to 1,687.93, 2,331.63 and 1,271.44

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Solution

The fourth proportional to 1,687.93, 2,331.63 and 1,271.44 is: 1,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.93 : 2,331.63 = 1,271.44 : x
  2. Step 2: Convert to fraction form
    1,687.93/2,331.63 = 1,271.44/x
  3. Step 3: Cross multiply
    1,687.93x = 2,331.63 × 1,271.44
  4. Step 4: Simplify right side
    1,687.93x = 2,964,527.65
  5. Step 5: Solve for x
    x = 2,964,527.65/1,687.93
  6. Step 6: Final answer
    x = 1,756.31

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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.