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Finding the Fourth Proportional to 3,270.64, 4,906.80 and 1,421.32

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Solution

The fourth proportional to 3,270.64, 4,906.80 and 1,421.32 is: 2,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.64 : 4,906.80 = 1,421.32 : x
  2. Step 2: Convert to fraction form
    3,270.64/4,906.80 = 1,421.32/x
  3. Step 3: Cross multiply
    3,270.64x = 4,906.80 × 1,421.32
  4. Step 4: Simplify right side
    3,270.64x = 6,974,132.98
  5. Step 5: Solve for x
    x = 6,974,132.98/3,270.64
  6. Step 6: Final answer
    x = 2,132.35

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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.