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Finding the Fourth Proportional to 2,107.03, 3,160.55 and 568.03

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Solution

The fourth proportional to 2,107.03, 3,160.55 and 568.03 is: 852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.03 : 3,160.55 = 568.03 : x
  2. Step 2: Convert to fraction form
    2,107.03/3,160.55 = 568.03/x
  3. Step 3: Cross multiply
    2,107.03x = 3,160.55 × 568.03
  4. Step 4: Simplify right side
    2,107.03x = 1,795,284.38
  5. Step 5: Solve for x
    x = 1,795,284.38/2,107.03
  6. Step 6: Final answer
    x = 852.05

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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.