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Finding the Fourth Proportional to 3,254.72, 4,880.86 and 1,406.09

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Solution

The fourth proportional to 3,254.72, 4,880.86 and 1,406.09 is: 2,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.72 : 4,880.86 = 1,406.09 : x
  2. Step 2: Convert to fraction form
    3,254.72/4,880.86 = 1,406.09/x
  3. Step 3: Cross multiply
    3,254.72x = 4,880.86 × 1,406.09
  4. Step 4: Simplify right side
    3,254.72x = 6,862,937.12
  5. Step 5: Solve for x
    x = 6,862,937.12/3,254.72
  6. Step 6: Final answer
    x = 2,108.61

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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.