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Finding the Fourth Proportional to 1,722.78, 2,377.86 and 1,093.68

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Solution

The fourth proportional to 1,722.78, 2,377.86 and 1,093.68 is: 1,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.78 : 2,377.86 = 1,093.68 : x
  2. Step 2: Convert to fraction form
    1,722.78/2,377.86 = 1,093.68/x
  3. Step 3: Cross multiply
    1,722.78x = 2,377.86 × 1,093.68
  4. Step 4: Simplify right side
    1,722.78x = 2,600,617.92
  5. Step 5: Solve for x
    x = 2,600,617.92/1,722.78
  6. Step 6: Final answer
    x = 1,509.55

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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.