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Finding the Fourth Proportional to 2,847.02, 4,270.98 and 899.07

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Solution

The fourth proportional to 2,847.02, 4,270.98 and 899.07 is: 1,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.02 : 4,270.98 = 899.07 : x
  2. Step 2: Convert to fraction form
    2,847.02/4,270.98 = 899.07/x
  3. Step 3: Cross multiply
    2,847.02x = 4,270.98 × 899.07
  4. Step 4: Simplify right side
    2,847.02x = 3,839,909.99
  5. Step 5: Solve for x
    x = 3,839,909.99/2,847.02
  6. Step 6: Final answer
    x = 1,348.75

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