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Finding the Fourth Proportional to 4,682.12, 7,023.51 and 1,760.40

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Solution

The fourth proportional to 4,682.12, 7,023.51 and 1,760.40 is: 2,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.12 : 7,023.51 = 1,760.40 : x
  2. Step 2: Convert to fraction form
    4,682.12/7,023.51 = 1,760.40/x
  3. Step 3: Cross multiply
    4,682.12x = 7,023.51 × 1,760.40
  4. Step 4: Simplify right side
    4,682.12x = 12,364,187.00
  5. Step 5: Solve for x
    x = 12,364,187.00/4,682.12
  6. Step 6: Final answer
    x = 2,640.73

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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.