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Finding the Fourth Proportional to 2,847.52, 4,271.73 and 899.57

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Solution

The fourth proportional to 2,847.52, 4,271.73 and 899.57 is: 1,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.52 : 4,271.73 = 899.57 : x
  2. Step 2: Convert to fraction form
    2,847.52/4,271.73 = 899.57/x
  3. Step 3: Cross multiply
    2,847.52x = 4,271.73 × 899.57
  4. Step 4: Simplify right side
    2,847.52x = 3,842,720.16
  5. Step 5: Solve for x
    x = 3,842,720.16/2,847.52
  6. Step 6: Final answer
    x = 1,349.50

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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.