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Finding the Fourth Proportional to 3,237.68, 4,467.68 and 1,840.32

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Solution

The fourth proportional to 3,237.68, 4,467.68 and 1,840.32 is: 2,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.68 : 4,467.68 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    3,237.68/4,467.68 = 1,840.32/x
  3. Step 3: Cross multiply
    3,237.68x = 4,467.68 × 1,840.32
  4. Step 4: Simplify right side
    3,237.68x = 8,221,960.86
  5. Step 5: Solve for x
    x = 8,221,960.86/3,237.68
  6. Step 6: Final answer
    x = 2,539.46

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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.