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Finding the Fourth Proportional to 1,687.74, 2,331.36 and 1,530.55

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Solution

The fourth proportional to 1,687.74, 2,331.36 and 1,530.55 is: 2,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.74 : 2,331.36 = 1,530.55 : x
  2. Step 2: Convert to fraction form
    1,687.74/2,331.36 = 1,530.55/x
  3. Step 3: Cross multiply
    1,687.74x = 2,331.36 × 1,530.55
  4. Step 4: Simplify right side
    1,687.74x = 3,568,260.22
  5. Step 5: Solve for x
    x = 3,568,260.22/1,687.74
  6. Step 6: Final answer
    x = 2,114.22

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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.