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Finding the Fourth Proportional to 2,663.29, 3,675.52 and 1,544.59

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Solution

The fourth proportional to 2,663.29, 3,675.52 and 1,544.59 is: 2,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.29 : 3,675.52 = 1,544.59 : x
  2. Step 2: Convert to fraction form
    2,663.29/3,675.52 = 1,544.59/x
  3. Step 3: Cross multiply
    2,663.29x = 3,675.52 × 1,544.59
  4. Step 4: Simplify right side
    2,663.29x = 5,677,171.44
  5. Step 5: Solve for x
    x = 5,677,171.44/2,663.29
  6. Step 6: Final answer
    x = 2,131.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.