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Finding the Fourth Proportional to 2,714.94, 3,745.49 and 1,652.31

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Solution

The fourth proportional to 2,714.94, 3,745.49 and 1,652.31 is: 2,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.94 : 3,745.49 = 1,652.31 : x
  2. Step 2: Convert to fraction form
    2,714.94/3,745.49 = 1,652.31/x
  3. Step 3: Cross multiply
    2,714.94x = 3,745.49 × 1,652.31
  4. Step 4: Simplify right side
    2,714.94x = 6,188,702.32
  5. Step 5: Solve for x
    x = 6,188,702.32/2,714.94
  6. Step 6: Final answer
    x = 2,279.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.