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Finding the Fourth Proportional to 2,114.30, 3,170.55 and 1,019

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Solution

The fourth proportional to 2,114.30, 3,170.55 and 1,019 is: 1,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.30 : 3,170.55 = 1,019 : x
  2. Step 2: Convert to fraction form
    2,114.30/3,170.55 = 1,019/x
  3. Step 3: Cross multiply
    2,114.30x = 3,170.55 × 1,019
  4. Step 4: Simplify right side
    2,114.30x = 3,230,790.45
  5. Step 5: Solve for x
    x = 3,230,790.45/2,114.30
  6. Step 6: Final answer
    x = 1,528.07

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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.