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Finding the Fourth Proportional to 1,722.86, 2,377.51 and 936.90

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Solution

The fourth proportional to 1,722.86, 2,377.51 and 936.90 is: 1,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.86 : 2,377.51 = 936.90 : x
  2. Step 2: Convert to fraction form
    1,722.86/2,377.51 = 936.90/x
  3. Step 3: Cross multiply
    1,722.86x = 2,377.51 × 936.90
  4. Step 4: Simplify right side
    1,722.86x = 2,227,489.12
  5. Step 5: Solve for x
    x = 2,227,489.12/1,722.86
  6. Step 6: Final answer
    x = 1,292.90

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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.