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Finding the Fourth Proportional to 2,694.42, 3,719.88 and 1,764.54

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Solution

The fourth proportional to 2,694.42, 3,719.88 and 1,764.54 is: 2,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.42 : 3,719.88 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    2,694.42/3,719.88 = 1,764.54/x
  3. Step 3: Cross multiply
    2,694.42x = 3,719.88 × 1,764.54
  4. Step 4: Simplify right side
    2,694.42x = 6,563,877.06
  5. Step 5: Solve for x
    x = 6,563,877.06/2,694.42
  6. Step 6: Final answer
    x = 2,436.10

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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.