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Finding the Fourth Proportional to 1,894.29, 2,613.27 and 1,185.84

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Solution

The fourth proportional to 1,894.29, 2,613.27 and 1,185.84 is: 1,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.29 : 2,613.27 = 1,185.84 : x
  2. Step 2: Convert to fraction form
    1,894.29/2,613.27 = 1,185.84/x
  3. Step 3: Cross multiply
    1,894.29x = 2,613.27 × 1,185.84
  4. Step 4: Simplify right side
    1,894.29x = 3,098,920.10
  5. Step 5: Solve for x
    x = 3,098,920.10/1,894.29
  6. Step 6: Final answer
    x = 1,635.93

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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.