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Finding the Fourth Proportional to 1,727.64, 2,588.22 and 1,265.58

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Solution

The fourth proportional to 1,727.64, 2,588.22 and 1,265.58 is: 1,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.64 : 2,588.22 = 1,265.58 : x
  2. Step 2: Convert to fraction form
    1,727.64/2,588.22 = 1,265.58/x
  3. Step 3: Cross multiply
    1,727.64x = 2,588.22 × 1,265.58
  4. Step 4: Simplify right side
    1,727.64x = 3,275,599.47
  5. Step 5: Solve for x
    x = 3,275,599.47/1,727.64
  6. Step 6: Final answer
    x = 1,896.00

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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.