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Finding the Fourth Proportional to 2,847.72, 4,271.12 and 899.48

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Solution

The fourth proportional to 2,847.72, 4,271.12 and 899.48 is: 1,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.72 : 4,271.12 = 899.48 : x
  2. Step 2: Convert to fraction form
    2,847.72/4,271.12 = 899.48/x
  3. Step 3: Cross multiply
    2,847.72x = 4,271.12 × 899.48
  4. Step 4: Simplify right side
    2,847.72x = 3,841,787.02
  5. Step 5: Solve for x
    x = 3,841,787.02/2,847.72
  6. Step 6: Final answer
    x = 1,349.07

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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.