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Finding the Fourth Proportional to 4,880.47, 7,322.07 and 1,960.82

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Solution

The fourth proportional to 4,880.47, 7,322.07 and 1,960.82 is: 2,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.47 : 7,322.07 = 1,960.82 : x
  2. Step 2: Convert to fraction form
    4,880.47/7,322.07 = 1,960.82/x
  3. Step 3: Cross multiply
    4,880.47x = 7,322.07 × 1,960.82
  4. Step 4: Simplify right side
    4,880.47x = 14,357,261.30
  5. Step 5: Solve for x
    x = 14,357,261.30/4,880.47
  6. Step 6: Final answer
    x = 2,941.78

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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.