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Finding the Fourth Proportional to 1,722.16, 2,376.43 and 965.94

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Solution

The fourth proportional to 1,722.16, 2,376.43 and 965.94 is: 1,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.16 : 2,376.43 = 965.94 : x
  2. Step 2: Convert to fraction form
    1,722.16/2,376.43 = 965.94/x
  3. Step 3: Cross multiply
    1,722.16x = 2,376.43 × 965.94
  4. Step 4: Simplify right side
    1,722.16x = 2,295,488.79
  5. Step 5: Solve for x
    x = 2,295,488.79/1,722.16
  6. Step 6: Final answer
    x = 1,332.91

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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.