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Finding the Fourth Proportional to 2,186.69, 3,278.96 and 953.57

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Solution

The fourth proportional to 2,186.69, 3,278.96 and 953.57 is: 1,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.69 : 3,278.96 = 953.57 : x
  2. Step 2: Convert to fraction form
    2,186.69/3,278.96 = 953.57/x
  3. Step 3: Cross multiply
    2,186.69x = 3,278.96 × 953.57
  4. Step 4: Simplify right side
    2,186.69x = 3,126,696.72
  5. Step 5: Solve for x
    x = 3,126,696.72/2,186.69
  6. Step 6: Final answer
    x = 1,429.88

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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.