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Finding the Fourth Proportional to 1,727.73, 2,591.51 and 631.98

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Solution

The fourth proportional to 1,727.73, 2,591.51 and 631.98 is: 947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.73 : 2,591.51 = 631.98 : x
  2. Step 2: Convert to fraction form
    1,727.73/2,591.51 = 631.98/x
  3. Step 3: Cross multiply
    1,727.73x = 2,591.51 × 631.98
  4. Step 4: Simplify right side
    1,727.73x = 1,637,779.33
  5. Step 5: Solve for x
    x = 1,637,779.33/1,727.73
  6. Step 6: Final answer
    x = 947.94

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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.