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Finding the Fourth Proportional to 2,344.66, 3,516.18 and 957.94

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Solution

The fourth proportional to 2,344.66, 3,516.18 and 957.94 is: 1,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.66 : 3,516.18 = 957.94 : x
  2. Step 2: Convert to fraction form
    2,344.66/3,516.18 = 957.94/x
  3. Step 3: Cross multiply
    2,344.66x = 3,516.18 × 957.94
  4. Step 4: Simplify right side
    2,344.66x = 3,368,289.47
  5. Step 5: Solve for x
    x = 3,368,289.47/2,344.66
  6. Step 6: Final answer
    x = 1,436.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.