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Finding the Fourth Proportional to 1,726.52, 2,383.42 and 1,063.94

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Solution

The fourth proportional to 1,726.52, 2,383.42 and 1,063.94 is: 1,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.52 : 2,383.42 = 1,063.94 : x
  2. Step 2: Convert to fraction form
    1,726.52/2,383.42 = 1,063.94/x
  3. Step 3: Cross multiply
    1,726.52x = 2,383.42 × 1,063.94
  4. Step 4: Simplify right side
    1,726.52x = 2,535,815.87
  5. Step 5: Solve for x
    x = 2,535,815.87/1,726.52
  6. Step 6: Final answer
    x = 1,468.74

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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.