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Finding the Fourth Proportional to 2,714.87, 3,745.35 and 1,771.02

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Solution

The fourth proportional to 2,714.87, 3,745.35 and 1,771.02 is: 2,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.87 : 3,745.35 = 1,771.02 : x
  2. Step 2: Convert to fraction form
    2,714.87/3,745.35 = 1,771.02/x
  3. Step 3: Cross multiply
    2,714.87x = 3,745.35 × 1,771.02
  4. Step 4: Simplify right side
    2,714.87x = 6,633,089.76
  5. Step 5: Solve for x
    x = 6,633,089.76/2,714.87
  6. Step 6: Final answer
    x = 2,443.25

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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.