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Finding the Fourth Proportional to 1,911.30, 2,862.90 and 1,255.20

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Solution

The fourth proportional to 1,911.30, 2,862.90 and 1,255.20 is: 1,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.30 : 2,862.90 = 1,255.20 : x
  2. Step 2: Convert to fraction form
    1,911.30/2,862.90 = 1,255.20/x
  3. Step 3: Cross multiply
    1,911.30x = 2,862.90 × 1,255.20
  4. Step 4: Simplify right side
    1,911.30x = 3,593,512.08
  5. Step 5: Solve for x
    x = 3,593,512.08/1,911.30
  6. Step 6: Final answer
    x = 1,880.14

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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.