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Finding the Fourth Proportional to 2,092.64, 2,885.68 and 1,794.91

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Solution

The fourth proportional to 2,092.64, 2,885.68 and 1,794.91 is: 2,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.64 : 2,885.68 = 1,794.91 : x
  2. Step 2: Convert to fraction form
    2,092.64/2,885.68 = 1,794.91/x
  3. Step 3: Cross multiply
    2,092.64x = 2,885.68 × 1,794.91
  4. Step 4: Simplify right side
    2,092.64x = 5,179,526.23
  5. Step 5: Solve for x
    x = 5,179,526.23/2,092.64
  6. Step 6: Final answer
    x = 2,475.12

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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.