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Finding the Fourth Proportional to 1,636.16, 2,257.53 and 1,194.30

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Solution

The fourth proportional to 1,636.16, 2,257.53 and 1,194.30 is: 1,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.16 : 2,257.53 = 1,194.30 : x
  2. Step 2: Convert to fraction form
    1,636.16/2,257.53 = 1,194.30/x
  3. Step 3: Cross multiply
    1,636.16x = 2,257.53 × 1,194.30
  4. Step 4: Simplify right side
    1,636.16x = 2,696,168.08
  5. Step 5: Solve for x
    x = 2,696,168.08/1,636.16
  6. Step 6: Final answer
    x = 1,647.87

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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.