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Finding the Fourth Proportional to 2,000.54, 3,000.82 and 702.02

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Solution

The fourth proportional to 2,000.54, 3,000.82 and 702.02 is: 1,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.54 : 3,000.82 = 702.02 : x
  2. Step 2: Convert to fraction form
    2,000.54/3,000.82 = 702.02/x
  3. Step 3: Cross multiply
    2,000.54x = 3,000.82 × 702.02
  4. Step 4: Simplify right side
    2,000.54x = 2,106,635.66
  5. Step 5: Solve for x
    x = 2,106,635.66/2,000.54
  6. Step 6: Final answer
    x = 1,053.03

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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.