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Finding the Fourth Proportional to 2,714.26, 3,745.67 and 1,535.32

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Solution

The fourth proportional to 2,714.26, 3,745.67 and 1,535.32 is: 2,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.26 : 3,745.67 = 1,535.32 : x
  2. Step 2: Convert to fraction form
    2,714.26/3,745.67 = 1,535.32/x
  3. Step 3: Cross multiply
    2,714.26x = 3,745.67 × 1,535.32
  4. Step 4: Simplify right side
    2,714.26x = 5,750,802.06
  5. Step 5: Solve for x
    x = 5,750,802.06/2,714.26
  6. Step 6: Final answer
    x = 2,118.74

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