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Finding the Fourth Proportional to 1,687.35, 2,532.55 and 810.39

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Solution

The fourth proportional to 1,687.35, 2,532.55 and 810.39 is: 1,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.35 : 2,532.55 = 810.39 : x
  2. Step 2: Convert to fraction form
    1,687.35/2,532.55 = 810.39/x
  3. Step 3: Cross multiply
    1,687.35x = 2,532.55 × 810.39
  4. Step 4: Simplify right side
    1,687.35x = 2,052,353.19
  5. Step 5: Solve for x
    x = 2,052,353.19/1,687.35
  6. Step 6: Final answer
    x = 1,216.32

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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.