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Finding the Fourth Proportional to 1,636.27, 2,257.47 and 972.88

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Solution

The fourth proportional to 1,636.27, 2,257.47 and 972.88 is: 1,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.27 : 2,257.47 = 972.88 : x
  2. Step 2: Convert to fraction form
    1,636.27/2,257.47 = 972.88/x
  3. Step 3: Cross multiply
    1,636.27x = 2,257.47 × 972.88
  4. Step 4: Simplify right side
    1,636.27x = 2,196,241.77
  5. Step 5: Solve for x
    x = 2,196,241.77/1,636.27
  6. Step 6: Final answer
    x = 1,342.23

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