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Finding the Fourth Proportional to 3,043.44, 4,564.74 and 1,311.84

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Solution

The fourth proportional to 3,043.44, 4,564.74 and 1,311.84 is: 1,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.44 : 4,564.74 = 1,311.84 : x
  2. Step 2: Convert to fraction form
    3,043.44/4,564.74 = 1,311.84/x
  3. Step 3: Cross multiply
    3,043.44x = 4,564.74 × 1,311.84
  4. Step 4: Simplify right side
    3,043.44x = 5,988,208.52
  5. Step 5: Solve for x
    x = 5,988,208.52/3,043.44
  6. Step 6: Final answer
    x = 1,967.58

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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.