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Finding the Fourth Proportional to 2,846.82, 4,271.58 and 1,287.24

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Solution

The fourth proportional to 2,846.82, 4,271.58 and 1,287.24 is: 1,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.82 : 4,271.58 = 1,287.24 : x
  2. Step 2: Convert to fraction form
    2,846.82/4,271.58 = 1,287.24/x
  3. Step 3: Cross multiply
    2,846.82x = 4,271.58 × 1,287.24
  4. Step 4: Simplify right side
    2,846.82x = 5,498,548.64
  5. Step 5: Solve for x
    x = 5,498,548.64/2,846.82
  6. Step 6: Final answer
    x = 1,931.47

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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.