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Finding the Fourth Proportional to 2,709.12, 3,729.60 and 2,423.04

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Solution

The fourth proportional to 2,709.12, 3,729.60 and 2,423.04 is: 3,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.12 : 3,729.60 = 2,423.04 : x
  2. Step 2: Convert to fraction form
    2,709.12/3,729.60 = 2,423.04/x
  3. Step 3: Cross multiply
    2,709.12x = 3,729.60 × 2,423.04
  4. Step 4: Simplify right side
    2,709.12x = 9,036,969.98
  5. Step 5: Solve for x
    x = 9,036,969.98/2,709.12
  6. Step 6: Final answer
    x = 3,335.76

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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.