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Finding the Fourth Proportional to 1,722.24, 2,376.70 and 936.28

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Solution

The fourth proportional to 1,722.24, 2,376.70 and 936.28 is: 1,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.24 : 2,376.70 = 936.28 : x
  2. Step 2: Convert to fraction form
    1,722.24/2,376.70 = 936.28/x
  3. Step 3: Cross multiply
    1,722.24x = 2,376.70 × 936.28
  4. Step 4: Simplify right side
    1,722.24x = 2,225,256.68
  5. Step 5: Solve for x
    x = 2,225,256.68/1,722.24
  6. Step 6: Final answer
    x = 1,292.07

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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.