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Finding the Fourth Proportional to 2,128.39, 3,192.59 and 568.40

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Solution

The fourth proportional to 2,128.39, 3,192.59 and 568.40 is: 852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.39 : 3,192.59 = 568.40 : x
  2. Step 2: Convert to fraction form
    2,128.39/3,192.59 = 568.40/x
  3. Step 3: Cross multiply
    2,128.39x = 3,192.59 × 568.40
  4. Step 4: Simplify right side
    2,128.39x = 1,814,665.31
  5. Step 5: Solve for x
    x = 1,814,665.31/2,128.39
  6. Step 6: Final answer
    x = 852.60

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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.