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Finding the Fourth Proportional to 2,015.72, 2,782.02 and 1,385.72

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Solution

The fourth proportional to 2,015.72, 2,782.02 and 1,385.72 is: 1,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.72 : 2,782.02 = 1,385.72 : x
  2. Step 2: Convert to fraction form
    2,015.72/2,782.02 = 1,385.72/x
  3. Step 3: Cross multiply
    2,015.72x = 2,782.02 × 1,385.72
  4. Step 4: Simplify right side
    2,015.72x = 3,855,100.75
  5. Step 5: Solve for x
    x = 3,855,100.75/2,015.72
  6. Step 6: Final answer
    x = 1,912.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.