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Finding the Fourth Proportional to 1,757.25, 2,637.72 and 1,065.65

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Solution

The fourth proportional to 1,757.25, 2,637.72 and 1,065.65 is: 1,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.25 : 2,637.72 = 1,065.65 : x
  2. Step 2: Convert to fraction form
    1,757.25/2,637.72 = 1,065.65/x
  3. Step 3: Cross multiply
    1,757.25x = 2,637.72 × 1,065.65
  4. Step 4: Simplify right side
    1,757.25x = 2,810,873.13
  5. Step 5: Solve for x
    x = 2,810,873.13/1,757.25
  6. Step 6: Final answer
    x = 1,599.59

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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.