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Finding the Fourth Proportional to 2,847.08, 4,270.14 and 899

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Solution

The fourth proportional to 2,847.08, 4,270.14 and 899 is: 1,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.08 : 4,270.14 = 899 : x
  2. Step 2: Convert to fraction form
    2,847.08/4,270.14 = 899/x
  3. Step 3: Cross multiply
    2,847.08x = 4,270.14 × 899
  4. Step 4: Simplify right side
    2,847.08x = 3,838,855.86
  5. Step 5: Solve for x
    x = 3,838,855.86/2,847.08
  6. Step 6: Final answer
    x = 1,348.35

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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.