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Finding the Fourth Proportional to 1,732.92, 2,391.65 and 1,095.80

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Solution

The fourth proportional to 1,732.92, 2,391.65 and 1,095.80 is: 1,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.92 : 2,391.65 = 1,095.80 : x
  2. Step 2: Convert to fraction form
    1,732.92/2,391.65 = 1,095.80/x
  3. Step 3: Cross multiply
    1,732.92x = 2,391.65 × 1,095.80
  4. Step 4: Simplify right side
    1,732.92x = 2,620,752.63
  5. Step 5: Solve for x
    x = 2,620,752.63/1,732.92
  6. Step 6: Final answer
    x = 1,512.33

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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.