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Finding the Fourth Proportional to 1,516.18, 2,274.82 and 786.24

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Solution

The fourth proportional to 1,516.18, 2,274.82 and 786.24 is: 1,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.18 : 2,274.82 = 786.24 : x
  2. Step 2: Convert to fraction form
    1,516.18/2,274.82 = 786.24/x
  3. Step 3: Cross multiply
    1,516.18x = 2,274.82 × 786.24
  4. Step 4: Simplify right side
    1,516.18x = 1,788,554.48
  5. Step 5: Solve for x
    x = 1,788,554.48/1,516.18
  6. Step 6: Final answer
    x = 1,179.65

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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.