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Finding the Fourth Proportional to 2,128.35, 3,192.29 and 568.52

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Solution

The fourth proportional to 2,128.35, 3,192.29 and 568.52 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.35 : 3,192.29 = 568.52 : x
  2. Step 2: Convert to fraction form
    2,128.35/3,192.29 = 568.52/x
  3. Step 3: Cross multiply
    2,128.35x = 3,192.29 × 568.52
  4. Step 4: Simplify right side
    2,128.35x = 1,814,880.71
  5. Step 5: Solve for x
    x = 1,814,880.71/2,128.35
  6. Step 6: Final answer
    x = 852.72

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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.