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Finding the Fourth Proportional to 2,729.68, 4,073.60 and 2,438.08

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Solution

The fourth proportional to 2,729.68, 4,073.60 and 2,438.08 is: 3,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.68 : 4,073.60 = 2,438.08 : x
  2. Step 2: Convert to fraction form
    2,729.68/4,073.60 = 2,438.08/x
  3. Step 3: Cross multiply
    2,729.68x = 4,073.60 × 2,438.08
  4. Step 4: Simplify right side
    2,729.68x = 9,931,762.69
  5. Step 5: Solve for x
    x = 9,931,762.69/2,729.68
  6. Step 6: Final answer
    x = 3,638.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.