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Finding the Fourth Proportional to 1,636.37, 2,257.14 and 972.73

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Solution

The fourth proportional to 1,636.37, 2,257.14 and 972.73 is: 1,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.37 : 2,257.14 = 972.73 : x
  2. Step 2: Convert to fraction form
    1,636.37/2,257.14 = 972.73/x
  3. Step 3: Cross multiply
    1,636.37x = 2,257.14 × 972.73
  4. Step 4: Simplify right side
    1,636.37x = 2,195,587.79
  5. Step 5: Solve for x
    x = 2,195,587.79/1,636.37
  6. Step 6: Final answer
    x = 1,341.74

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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.