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Finding the Fourth Proportional to 1,782.00, 2,659.96 and 1,571.59

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Solution

The fourth proportional to 1,782.00, 2,659.96 and 1,571.59 is: 2,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.00 : 2,659.96 = 1,571.59 : x
  2. Step 2: Convert to fraction form
    1,782.00/2,659.96 = 1,571.59/x
  3. Step 3: Cross multiply
    1,782.00x = 2,659.96 × 1,571.59
  4. Step 4: Simplify right side
    1,782.00x = 4,180,348.02
  5. Step 5: Solve for x
    x = 4,180,348.02/1,782.00
  6. Step 6: Final answer
    x = 2,345.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.