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Finding the Fourth Proportional to 3,281.49, 4,529.32 and 1,866.00

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Solution

The fourth proportional to 3,281.49, 4,529.32 and 1,866.00 is: 2,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.49 : 4,529.32 = 1,866.00 : x
  2. Step 2: Convert to fraction form
    3,281.49/4,529.32 = 1,866.00/x
  3. Step 3: Cross multiply
    3,281.49x = 4,529.32 × 1,866.00
  4. Step 4: Simplify right side
    3,281.49x = 8,451,723.44
  5. Step 5: Solve for x
    x = 8,451,723.44/3,281.49
  6. Step 6: Final answer
    x = 2,575.57

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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.