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Finding the Fourth Proportional to 4,262.04, 6,394.01 and 1,665

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Solution

The fourth proportional to 4,262.04, 6,394.01 and 1,665 is: 2,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.04 : 6,394.01 = 1,665 : x
  2. Step 2: Convert to fraction form
    4,262.04/6,394.01 = 1,665/x
  3. Step 3: Cross multiply
    4,262.04x = 6,394.01 × 1,665
  4. Step 4: Simplify right side
    4,262.04x = 10,646,026.65
  5. Step 5: Solve for x
    x = 10,646,026.65/4,262.04
  6. Step 6: Final answer
    x = 2,497.87

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Why These Related Problems?

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