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Finding the Fourth Proportional to 3,237.60, 4,467.98 and 1,978.68

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Solution

The fourth proportional to 3,237.60, 4,467.98 and 1,978.68 is: 2,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.60 : 4,467.98 = 1,978.68 : x
  2. Step 2: Convert to fraction form
    3,237.60/4,467.98 = 1,978.68/x
  3. Step 3: Cross multiply
    3,237.60x = 4,467.98 × 1,978.68
  4. Step 4: Simplify right side
    3,237.60x = 8,840,692.77
  5. Step 5: Solve for x
    x = 8,840,692.77/3,237.60
  6. Step 6: Final answer
    x = 2,730.63

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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.