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Finding the Fourth Proportional to 3,455.34, 4,768.73 and 2,039.46

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Solution

The fourth proportional to 3,455.34, 4,768.73 and 2,039.46 is: 2,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 4,768.73 = 2,039.46 : x
  2. Step 2: Convert to fraction form
    3,455.34/4,768.73 = 2,039.46/x
  3. Step 3: Cross multiply
    3,455.34x = 4,768.73 × 2,039.46
  4. Step 4: Simplify right side
    3,455.34x = 9,725,623.89
  5. Step 5: Solve for x
    x = 9,725,623.89/3,455.34
  6. Step 6: Final answer
    x = 2,814.66

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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.