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Finding the Fourth Proportional to 2,128.26, 3,192.12 and 568.35

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Solution

The fourth proportional to 2,128.26, 3,192.12 and 568.35 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.26 : 3,192.12 = 568.35 : x
  2. Step 2: Convert to fraction form
    2,128.26/3,192.12 = 568.35/x
  3. Step 3: Cross multiply
    2,128.26x = 3,192.12 × 568.35
  4. Step 4: Simplify right side
    2,128.26x = 1,814,241.40
  5. Step 5: Solve for x
    x = 1,814,241.40/2,128.26
  6. Step 6: Final answer
    x = 852.45

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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.