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Finding the Fourth Proportional to 2,273.91, 3,411.18 and 957.45

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Solution

The fourth proportional to 2,273.91, 3,411.18 and 957.45 is: 1,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.91 : 3,411.18 = 957.45 : x
  2. Step 2: Convert to fraction form
    2,273.91/3,411.18 = 957.45/x
  3. Step 3: Cross multiply
    2,273.91x = 3,411.18 × 957.45
  4. Step 4: Simplify right side
    2,273.91x = 3,266,034.29
  5. Step 5: Solve for x
    x = 3,266,034.29/2,273.91
  6. Step 6: Final answer
    x = 1,436.31

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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.