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Finding the Fourth Proportional to 2,090.76, 2,885.17 and 1,194.55

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Solution

The fourth proportional to 2,090.76, 2,885.17 and 1,194.55 is: 1,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.76 : 2,885.17 = 1,194.55 : x
  2. Step 2: Convert to fraction form
    2,090.76/2,885.17 = 1,194.55/x
  3. Step 3: Cross multiply
    2,090.76x = 2,885.17 × 1,194.55
  4. Step 4: Simplify right side
    2,090.76x = 3,446,459.42
  5. Step 5: Solve for x
    x = 3,446,459.42/2,090.76
  6. Step 6: Final answer
    x = 1,648.42

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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.