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Finding the Fourth Proportional to 1,515.23, 2,274.28 and 785.33

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Solution

The fourth proportional to 1,515.23, 2,274.28 and 785.33 is: 1,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.23 : 2,274.28 = 785.33 : x
  2. Step 2: Convert to fraction form
    1,515.23/2,274.28 = 785.33/x
  3. Step 3: Cross multiply
    1,515.23x = 2,274.28 × 785.33
  4. Step 4: Simplify right side
    1,515.23x = 1,786,046.98
  5. Step 5: Solve for x
    x = 1,786,046.98/1,515.23
  6. Step 6: Final answer
    x = 1,178.73

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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.