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Finding the Fourth Proportional to 3,455.70, 4,768.92 and 2,039.72

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Solution

The fourth proportional to 3,455.70, 4,768.92 and 2,039.72 is: 2,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.70 : 4,768.92 = 2,039.72 : x
  2. Step 2: Convert to fraction form
    3,455.70/4,768.92 = 2,039.72/x
  3. Step 3: Cross multiply
    3,455.70x = 4,768.92 × 2,039.72
  4. Step 4: Simplify right side
    3,455.70x = 9,727,261.50
  5. Step 5: Solve for x
    x = 9,727,261.50/3,455.70
  6. Step 6: Final answer
    x = 2,814.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.