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Finding the Fourth Proportional to 1,727.87, 2,591.93 and 632.21

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Solution

The fourth proportional to 1,727.87, 2,591.93 and 632.21 is: 948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.87 : 2,591.93 = 632.21 : x
  2. Step 2: Convert to fraction form
    1,727.87/2,591.93 = 632.21/x
  3. Step 3: Cross multiply
    1,727.87x = 2,591.93 × 632.21
  4. Step 4: Simplify right side
    1,727.87x = 1,638,632.69
  5. Step 5: Solve for x
    x = 1,638,632.69/1,727.87
  6. Step 6: Final answer
    x = 948.36

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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.