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Finding the Fourth Proportional to 2,763.13, 4,144.70 and 683.14

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Solution

The fourth proportional to 2,763.13, 4,144.70 and 683.14 is: 1,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.13 : 4,144.70 = 683.14 : x
  2. Step 2: Convert to fraction form
    2,763.13/4,144.70 = 683.14/x
  3. Step 3: Cross multiply
    2,763.13x = 4,144.70 × 683.14
  4. Step 4: Simplify right side
    2,763.13x = 2,831,410.36
  5. Step 5: Solve for x
    x = 2,831,410.36/2,763.13
  6. Step 6: Final answer
    x = 1,024.71

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1.5x scale

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.