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Finding the Fourth Proportional to 2,847.36, 4,271.22 and 899.64

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Solution

The fourth proportional to 2,847.36, 4,271.22 and 899.64 is: 1,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.36 : 4,271.22 = 899.64 : x
  2. Step 2: Convert to fraction form
    2,847.36/4,271.22 = 899.64/x
  3. Step 3: Cross multiply
    2,847.36x = 4,271.22 × 899.64
  4. Step 4: Simplify right side
    2,847.36x = 3,842,560.36
  5. Step 5: Solve for x
    x = 3,842,560.36/2,847.36
  6. Step 6: Final answer
    x = 1,349.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.