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Finding the Fourth Proportional to 3,272.32, 4,907.10 and 1,297.64

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Solution

The fourth proportional to 3,272.32, 4,907.10 and 1,297.64 is: 1,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.32 : 4,907.10 = 1,297.64 : x
  2. Step 2: Convert to fraction form
    3,272.32/4,907.10 = 1,297.64/x
  3. Step 3: Cross multiply
    3,272.32x = 4,907.10 × 1,297.64
  4. Step 4: Simplify right side
    3,272.32x = 6,367,649.24
  5. Step 5: Solve for x
    x = 6,367,649.24/3,272.32
  6. Step 6: Final answer
    x = 1,945.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.