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Finding the Fourth Proportional to 2,704.32, 4,050 and 2,412.72

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Solution

The fourth proportional to 2,704.32, 4,050 and 2,412.72 is: 3,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.32 : 4,050 = 2,412.72 : x
  2. Step 2: Convert to fraction form
    2,704.32/4,050 = 2,412.72/x
  3. Step 3: Cross multiply
    2,704.32x = 4,050 × 2,412.72
  4. Step 4: Simplify right side
    2,704.32x = 9,771,516
  5. Step 5: Solve for x
    x = 9,771,516/2,704.32
  6. Step 6: Final answer
    x = 3,613.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.