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Finding the Fourth Proportional to 4,262.64, 6,394.77 and 1,665.42

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Solution

The fourth proportional to 4,262.64, 6,394.77 and 1,665.42 is: 2,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.64 : 6,394.77 = 1,665.42 : x
  2. Step 2: Convert to fraction form
    4,262.64/6,394.77 = 1,665.42/x
  3. Step 3: Cross multiply
    4,262.64x = 6,394.77 × 1,665.42
  4. Step 4: Simplify right side
    4,262.64x = 10,649,977.85
  5. Step 5: Solve for x
    x = 10,649,977.85/4,262.64
  6. Step 6: Final answer
    x = 2,498.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.