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Finding the Fourth Proportional to 2,000.94, 3,002.82 and 702.51

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Solution

The fourth proportional to 2,000.94, 3,002.82 and 702.51 is: 1,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.94 : 3,002.82 = 702.51 : x
  2. Step 2: Convert to fraction form
    2,000.94/3,002.82 = 702.51/x
  3. Step 3: Cross multiply
    2,000.94x = 3,002.82 × 702.51
  4. Step 4: Simplify right side
    2,000.94x = 2,109,511.08
  5. Step 5: Solve for x
    x = 2,109,511.08/2,000.94
  6. Step 6: Final answer
    x = 1,054.26

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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.