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Finding the Fourth Proportional to 1,636.28, 2,257.72 and 972.92

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Solution

The fourth proportional to 1,636.28, 2,257.72 and 972.92 is: 1,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.28 : 2,257.72 = 972.92 : x
  2. Step 2: Convert to fraction form
    1,636.28/2,257.72 = 972.92/x
  3. Step 3: Cross multiply
    1,636.28x = 2,257.72 × 972.92
  4. Step 4: Simplify right side
    1,636.28x = 2,196,580.94
  5. Step 5: Solve for x
    x = 2,196,580.94/1,636.28
  6. Step 6: Final answer
    x = 1,342.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.