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Finding the Fourth Proportional to 2,096.52, 2,892.93 and 1,245.64

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Solution

The fourth proportional to 2,096.52, 2,892.93 and 1,245.64 is: 1,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.52 : 2,892.93 = 1,245.64 : x
  2. Step 2: Convert to fraction form
    2,096.52/2,892.93 = 1,245.64/x
  3. Step 3: Cross multiply
    2,096.52x = 2,892.93 × 1,245.64
  4. Step 4: Simplify right side
    2,096.52x = 3,603,549.33
  5. Step 5: Solve for x
    x = 3,603,549.33/2,096.52
  6. Step 6: Final answer
    x = 1,718.82

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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.