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Finding the Fourth Proportional to 1,702.82, 2,551.83 and 1,354.61

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Solution

The fourth proportional to 1,702.82, 2,551.83 and 1,354.61 is: 2,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.82 : 2,551.83 = 1,354.61 : x
  2. Step 2: Convert to fraction form
    1,702.82/2,551.83 = 1,354.61/x
  3. Step 3: Cross multiply
    1,702.82x = 2,551.83 × 1,354.61
  4. Step 4: Simplify right side
    1,702.82x = 3,456,734.44
  5. Step 5: Solve for x
    x = 3,456,734.44/1,702.82
  6. Step 6: Final answer
    x = 2,030.01

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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.