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Finding the Fourth Proportional to 1,515.29, 2,273.57 and 785.03

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Solution

The fourth proportional to 1,515.29, 2,273.57 and 785.03 is: 1,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.29 : 2,273.57 = 785.03 : x
  2. Step 2: Convert to fraction form
    1,515.29/2,273.57 = 785.03/x
  3. Step 3: Cross multiply
    1,515.29x = 2,273.57 × 785.03
  4. Step 4: Simplify right side
    1,515.29x = 1,784,816.73
  5. Step 5: Solve for x
    x = 1,784,816.73/1,515.29
  6. Step 6: Final answer
    x = 1,177.87

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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.