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Finding the Fourth Proportional to 3,453.63, 4,766.63 and 2,037.23

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Solution

The fourth proportional to 3,453.63, 4,766.63 and 2,037.23 is: 2,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.63 : 4,766.63 = 2,037.23 : x
  2. Step 2: Convert to fraction form
    3,453.63/4,766.63 = 2,037.23/x
  3. Step 3: Cross multiply
    3,453.63x = 4,766.63 × 2,037.23
  4. Step 4: Simplify right side
    3,453.63x = 9,710,705.49
  5. Step 5: Solve for x
    x = 9,710,705.49/3,453.63
  6. Step 6: Final answer
    x = 2,811.74

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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.