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Finding the Fourth Proportional to 4,682.14, 7,023.98 and 1,760.68

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Solution

The fourth proportional to 4,682.14, 7,023.98 and 1,760.68 is: 2,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.14 : 7,023.98 = 1,760.68 : x
  2. Step 2: Convert to fraction form
    4,682.14/7,023.98 = 1,760.68/x
  3. Step 3: Cross multiply
    4,682.14x = 7,023.98 × 1,760.68
  4. Step 4: Simplify right side
    4,682.14x = 12,366,981.11
  5. Step 5: Solve for x
    x = 12,366,981.11/4,682.14
  6. Step 6: Final answer
    x = 2,641.31

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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.