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Finding the Fourth Proportional to 2,653.68, 3,662.40 and 1,474.92

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Solution

The fourth proportional to 2,653.68, 3,662.40 and 1,474.92 is: 2,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.68 : 3,662.40 = 1,474.92 : x
  2. Step 2: Convert to fraction form
    2,653.68/3,662.40 = 1,474.92/x
  3. Step 3: Cross multiply
    2,653.68x = 3,662.40 × 1,474.92
  4. Step 4: Simplify right side
    2,653.68x = 5,401,747.01
  5. Step 5: Solve for x
    x = 5,401,747.01/2,653.68
  6. Step 6: Final answer
    x = 2,035.57

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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.