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Finding the Fourth Proportional to 2,468.65, 3,676.46 and 2,362.03

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Solution

The fourth proportional to 2,468.65, 3,676.46 and 2,362.03 is: 3,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.65 : 3,676.46 = 2,362.03 : x
  2. Step 2: Convert to fraction form
    2,468.65/3,676.46 = 2,362.03/x
  3. Step 3: Cross multiply
    2,468.65x = 3,676.46 × 2,362.03
  4. Step 4: Simplify right side
    2,468.65x = 8,683,908.81
  5. Step 5: Solve for x
    x = 8,683,908.81/2,468.65
  6. Step 6: Final answer
    x = 3,517.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.