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Finding the Fourth Proportional to 2,854.77, 4,283.21 and 2,039.46

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Solution

The fourth proportional to 2,854.77, 4,283.21 and 2,039.46 is: 3,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.77 : 4,283.21 = 2,039.46 : x
  2. Step 2: Convert to fraction form
    2,854.77/4,283.21 = 2,039.46/x
  3. Step 3: Cross multiply
    2,854.77x = 4,283.21 × 2,039.46
  4. Step 4: Simplify right side
    2,854.77x = 8,735,425.27
  5. Step 5: Solve for x
    x = 8,735,425.27/2,854.77
  6. Step 6: Final answer
    x = 3,059.94

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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.