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Finding the Fourth Proportional to 2,283.95, 3,425.90 and 552.57

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Solution

The fourth proportional to 2,283.95, 3,425.90 and 552.57 is: 828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.95 : 3,425.90 = 552.57 : x
  2. Step 2: Convert to fraction form
    2,283.95/3,425.90 = 552.57/x
  3. Step 3: Cross multiply
    2,283.95x = 3,425.90 × 552.57
  4. Step 4: Simplify right side
    2,283.95x = 1,893,046.80
  5. Step 5: Solve for x
    x = 1,893,046.80/2,283.95
  6. Step 6: Final answer
    x = 828.85

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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.