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Finding the Fourth Proportional to 3,043.65, 4,539.48 and 2,991

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Solution

The fourth proportional to 3,043.65, 4,539.48 and 2,991 is: 4,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.65 : 4,539.48 = 2,991 : x
  2. Step 2: Convert to fraction form
    3,043.65/4,539.48 = 2,991/x
  3. Step 3: Cross multiply
    3,043.65x = 4,539.48 × 2,991
  4. Step 4: Simplify right side
    3,043.65x = 13,577,584.68
  5. Step 5: Solve for x
    x = 13,577,584.68/3,043.65
  6. Step 6: Final answer
    x = 4,460.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.