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Finding the Fourth Proportional to 2,851.30, 4,276.95 and 2,122.30

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Solution

The fourth proportional to 2,851.30, 4,276.95 and 2,122.30 is: 3,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.30 : 4,276.95 = 2,122.30 : x
  2. Step 2: Convert to fraction form
    2,851.30/4,276.95 = 2,122.30/x
  3. Step 3: Cross multiply
    2,851.30x = 4,276.95 × 2,122.30
  4. Step 4: Simplify right side
    2,851.30x = 9,076,970.99
  5. Step 5: Solve for x
    x = 9,076,970.99/2,851.30
  6. Step 6: Final answer
    x = 3,183.45

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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.