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Finding the Fourth Proportional to 3,282.76, 4,529.74 and 1,866.60

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Solution

The fourth proportional to 3,282.76, 4,529.74 and 1,866.60 is: 2,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.76 : 4,529.74 = 1,866.60 : x
  2. Step 2: Convert to fraction form
    3,282.76/4,529.74 = 1,866.60/x
  3. Step 3: Cross multiply
    3,282.76x = 4,529.74 × 1,866.60
  4. Step 4: Simplify right side
    3,282.76x = 8,455,212.68
  5. Step 5: Solve for x
    x = 8,455,212.68/3,282.76
  6. Step 6: Final answer
    x = 2,575.64

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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.