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Finding the Fourth Proportional to 1,832.00, 2,750.72 and 1,052.87

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Solution

The fourth proportional to 1,832.00, 2,750.72 and 1,052.87 is: 1,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.00 : 2,750.72 = 1,052.87 : x
  2. Step 2: Convert to fraction form
    1,832.00/2,750.72 = 1,052.87/x
  3. Step 3: Cross multiply
    1,832.00x = 2,750.72 × 1,052.87
  4. Step 4: Simplify right side
    1,832.00x = 2,896,131.55
  5. Step 5: Solve for x
    x = 2,896,131.55/1,832.00
  6. Step 6: Final answer
    x = 1,580.86

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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.