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Finding the Fourth Proportional to 2,094.82, 2,890.34 and 1,186.35

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Solution

The fourth proportional to 2,094.82, 2,890.34 and 1,186.35 is: 1,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.82 : 2,890.34 = 1,186.35 : x
  2. Step 2: Convert to fraction form
    2,094.82/2,890.34 = 1,186.35/x
  3. Step 3: Cross multiply
    2,094.82x = 2,890.34 × 1,186.35
  4. Step 4: Simplify right side
    2,094.82x = 3,428,946.80
  5. Step 5: Solve for x
    x = 3,428,946.80/2,094.82
  6. Step 6: Final answer
    x = 1,636.87

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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.