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Finding the Fourth Proportional to 2,663.64, 3,675.76 and 1,544.56

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Solution

The fourth proportional to 2,663.64, 3,675.76 and 1,544.56 is: 2,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.64 : 3,675.76 = 1,544.56 : x
  2. Step 2: Convert to fraction form
    2,663.64/3,675.76 = 1,544.56/x
  3. Step 3: Cross multiply
    2,663.64x = 3,675.76 × 1,544.56
  4. Step 4: Simplify right side
    2,663.64x = 5,677,431.87
  5. Step 5: Solve for x
    x = 5,677,431.87/2,663.64
  6. Step 6: Final answer
    x = 2,131.46

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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.