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Finding the Fourth Proportional to 2,497.12, 3,742.26 and 957.28

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Solution

The fourth proportional to 2,497.12, 3,742.26 and 957.28 is: 1,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.12 : 3,742.26 = 957.28 : x
  2. Step 2: Convert to fraction form
    2,497.12/3,742.26 = 957.28/x
  3. Step 3: Cross multiply
    2,497.12x = 3,742.26 × 957.28
  4. Step 4: Simplify right side
    2,497.12x = 3,582,390.65
  5. Step 5: Solve for x
    x = 3,582,390.65/2,497.12
  6. Step 6: Final answer
    x = 1,434.61

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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.