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Finding the Fourth Proportional to 2,714.24, 3,745.95 and 1,665.68

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Solution

The fourth proportional to 2,714.24, 3,745.95 and 1,665.68 is: 2,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 3,745.95 = 1,665.68 : x
  2. Step 2: Convert to fraction form
    2,714.24/3,745.95 = 1,665.68/x
  3. Step 3: Cross multiply
    2,714.24x = 3,745.95 × 1,665.68
  4. Step 4: Simplify right side
    2,714.24x = 6,239,554.00
  5. Step 5: Solve for x
    x = 6,239,554.00/2,714.24
  6. Step 6: Final answer
    x = 2,298.82

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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.