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Finding the Fourth Proportional to 1,636.84, 2,258.18 and 1,217.46

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Solution

The fourth proportional to 1,636.84, 2,258.18 and 1,217.46 is: 1,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.84 : 2,258.18 = 1,217.46 : x
  2. Step 2: Convert to fraction form
    1,636.84/2,258.18 = 1,217.46/x
  3. Step 3: Cross multiply
    1,636.84x = 2,258.18 × 1,217.46
  4. Step 4: Simplify right side
    1,636.84x = 2,749,250.77
  5. Step 5: Solve for x
    x = 2,749,250.77/1,636.84
  6. Step 6: Final answer
    x = 1,679.61

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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.