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Finding the Fourth Proportional to 2,847.30, 4,271.55 and 899.70

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Solution

The fourth proportional to 2,847.30, 4,271.55 and 899.70 is: 1,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.30 : 4,271.55 = 899.70 : x
  2. Step 2: Convert to fraction form
    2,847.30/4,271.55 = 899.70/x
  3. Step 3: Cross multiply
    2,847.30x = 4,271.55 × 899.70
  4. Step 4: Simplify right side
    2,847.30x = 3,843,113.54
  5. Step 5: Solve for x
    x = 3,843,113.54/2,847.30
  6. Step 6: Final answer
    x = 1,349.74

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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.