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Finding the Fourth Proportional to 3,320.64, 4,980.42 and 1,471.32

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Solution

The fourth proportional to 3,320.64, 4,980.42 and 1,471.32 is: 2,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.64 : 4,980.42 = 1,471.32 : x
  2. Step 2: Convert to fraction form
    3,320.64/4,980.42 = 1,471.32/x
  3. Step 3: Cross multiply
    3,320.64x = 4,980.42 × 1,471.32
  4. Step 4: Simplify right side
    3,320.64x = 7,327,791.55
  5. Step 5: Solve for x
    x = 7,327,791.55/3,320.64
  6. Step 6: Final answer
    x = 2,206.74

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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.